Building a solid retirement portfolio requires careful selection of shares that offer stability, income, and long-term growth.

But which shares would be good options for a $10,000 investment into a retirement portfolio? Let's take a look at three that analysts rate as buys:

Origin Energy Ltd (ASX: ORG)

The first ASX retirement share to look at is Origin Energy. It is a leading Australian energy provider with a diversified business spanning electricity generation, retail energy supply, and gas production.

With stable energy demand and its strategic position in the sector, Origin Energy offers retirees a mix of income and potential capital growth.

For example, UBS currently has a buy rating on Origin's shares with a price target of $11.90.

As for income, the broker is forecasting fully franked dividends of 56 cents per share in FY 2025 and 55 cents per share in FY 2026. Based on its current share price of $10.51, this equates to dividend yields of 5.3% and 5.2%, respectively.

Lottery Corporation Ltd (ASX: TLC)

Another ASX retirement share to look at is Lottery Corporation. It owns and operates well-known lottery brands such as Powerball, Oz Lotto, and Keno.

With a near-monopoly on lottery operations in Australia, the company generates strong and predictable revenue, making it an appealing choice for a retirement portfolio.

Morgans is bullish about Lottery Corporation and has an add rating on its shares with a price target of $5.60.

In respect to dividends, the broker is forecasting dividends of 16 cents per share in FY 2025 and 18 cents per share in FY 2026. Based on its current share price of $4.86, this equates to fully franked dividend yields of 3.3% and 3.7%, respectively.

Propel Funeral Partners Ltd (ASX: PFP)

Finally, Propel Funeral Partners could be another ASX retirement share to buy. It operates a network of funeral homes across Australia and New Zealand, providing essential end-of-life services. The funeral industry is largely non-cyclical, ensuring steady demand regardless of economic conditions.

Bell Potter is positive on the company, particularly given that its analysts "view PFP's growth as well supported by a strong underlying business with better pricing power than other consumer facing businesses."

The broker has a buy rating and $6.30 price target on its shares.

As for income, Bell Potter expects dividends of 14.1 cents per share in FY 2025 and 14 cents per share in FY 2026. This equates to dividend yields of approximately 2.7% at its current share price of $5.25.