105712232 has 64 divisors (see below), whose sum is σ = 218972160. Its totient is φ = 47678400.

The previous prime is 105712223. The next prime is 105712241. The reversal of 105712232 is 232217501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105712223) and next prime (105712241).

It is a super-2 number, since 2×105712232² = 22350151988843648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 105712198 and 105712207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 245057 + ... + 245487.

It is an arithmetic number, because the mean of its divisors is an integer number (3421440).

Almost surely, 2^105712232 is an apocalyptic number.

It is an amenable number.

105712232 is an abundant number, since it is smaller than the sum of its proper divisors (113259928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105712232 is a wasteful number, since it uses less digits than its factorization.

105712232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 105712232 is about 10281.6453936128. The cubic root of 105712232 is about 472.8336912918.

Adding to 105712232 its reverse (232217501), we get a palindrome (337929733).

The spelling of 105712232 in words is "one hundred five million, seven hundred twelve thousand, two hundred thirty-two".