105331129 has 2 divisors, whose sum is σ = 105331130. Its totient is φ = 105331128.

The previous prime is 105331081. The next prime is 105331159. The reversal of 105331129 is 921133501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104591529 + 739600 = 10227^2 + 860^2 .

It is a cyclic number.

It is not a de Polignac number, because 105331129 - 2¹⁷ = 105200057 is a prime.

It is a super-2 number, since 2×105331129² = 22189293472829282, which contains 22 as substring.

It is equal to p_6050608 and since 105331129 and 6050608 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (105331159) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52665564 + 52665565.

It is an arithmetic number, because the mean of its divisors is an integer number (52665565).

Almost surely, 2^105331129 is an apocalyptic number.

It is an amenable number.

105331129 is a deficient number, since it is larger than the sum of its proper divisors (1).

105331129 is an equidigital number, since it uses as much as digits as its factorization.

105331129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 810, while the sum is 25.

The square root of 105331129 is about 10263.0954882043. The cubic root of 105331129 is about 472.2648031135.

The spelling of 105331129 in words is "one hundred five million, three hundred thirty-one thousand, one hundred twenty-nine".