105131129 has 2 divisors, whose sum is σ = 105131130. Its totient is φ = 105131128.

The previous prime is 105131071. The next prime is 105131207. The reversal of 105131129 is 921131501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104857600 + 273529 = 10240^2 + 523^2 .

It is a cyclic number.

It is not a de Polignac number, because 105131129 - 2²⁰ = 104082553 is a prime.

It is a super-2 number, since 2×105131129² = 22105108569629282, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105131329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52565564 + 52565565.

It is an arithmetic number, because the mean of its divisors is an integer number (52565565).

Almost surely, 2^105131129 is an apocalyptic number.

It is an amenable number.

105131129 is a deficient number, since it is larger than the sum of its proper divisors (1).

105131129 is an equidigital number, since it uses as much as digits as its factorization.

105131129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 270, while the sum is 23.

The square root of 105131129 is about 10253.3472095702. The cubic root of 105131129 is about 471.9657056980.

The spelling of 105131129 in words is "one hundred five million, one hundred thirty-one thousand, one hundred twenty-nine".