105344631120 has 40 divisors (see below), whose sum is σ = 326568357216. Its totient is φ = 28091901568.

The previous prime is 105344631113. The next prime is 105344631143. The reversal of 105344631120 is 21136443501.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×105344631120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 219467742 + ... + 219468221.

Almost surely, 2^105344631120 is an apocalyptic number.

105344631120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105344631120 is an abundant number, since it is smaller than the sum of its proper divisors (221223726096).

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

105344631120 is a wasteful number, since it uses less digits than its factorization.

105344631120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438935979 (or 438935973 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 105344631120 in words is "one hundred five billion, three hundred forty-four million, six hundred thirty-one thousand, one hundred twenty".