105713232000 has 128 divisors (see below), whose sum is σ = 350439523200. Its totient is φ = 28190182400.

The previous prime is 105713231989. The next prime is 105713232013. The reversal of 105713232000 is 232317501.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×105713232000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1053180 + ... + 1149179.

It is an arithmetic number, because the mean of its divisors is an integer number (2737808775).

Almost surely, 2^105713232000 is an apocalyptic number.

105713232000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105713232000 is an abundant number, since it is smaller than the sum of its proper divisors (244726291200).

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

105713232000 is an equidigital number, since it uses as much as digits as its factorization.

105713232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2202391 (or 2202369 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

Adding to 105713232000 its reverse (232317501), we get a palindrome (105945549501).

The spelling of 105713232000 in words is "one hundred five billion, seven hundred thirteen million, two hundred thirty-two thousand".