105120232704 has 72 divisors (see below), whose sum is σ = 310859041920. Its totient is φ = 35040075264.

The previous prime is 105120232697. The next prime is 105120232729. The reversal of 105120232704 is 407232021501.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×105120232704² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7597272 + ... + 7611095.

Almost surely, 2^105120232704 is an apocalyptic number.

It is an amenable number.

105120232704 is an abundant number, since it is smaller than the sum of its proper divisors (205738809216).

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

105120232704 is an equidigital number, since it uses as much as digits as its factorization.

105120232704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15208392 (or 15208372 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 105120232704 in words is "one hundred five billion, one hundred twenty million, two hundred thirty-two thousand, seven hundred four".