105232129 has 4 divisors (see below), whose sum is σ = 105299460. Its totient is φ = 105164800.

The previous prime is 105232123. The next prime is 105232147. The reversal of 105232129 is 921232501.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 97121025 + 8111104 = 9855^2 + 2848^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105232129 is a prime.

It is a super-2 number, since 2×105232129² = 22147601947745282, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105232123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31264 + ... + 34465.

It is an arithmetic number, because the mean of its divisors is an integer number (26324865).

Almost surely, 2^105232129 is an apocalyptic number.

It is an amenable number.

105232129 is a deficient number, since it is larger than the sum of its proper divisors (67331).

105232129 is an equidigital number, since it uses as much as digits as its factorization.

105232129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67330.

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 105232129 is about 10258.2712481197. The cubic root of 105232129 is about 472.1167972594.

The spelling of 105232129 in words is "one hundred five million, two hundred thirty-two thousand, one hundred twenty-nine".