105288737232 has 80 divisors (see below), whose sum is σ = 324367810560. Its totient is φ = 28774559616.

The previous prime is 105288737201. The next prime is 105288737243. The reversal of 105288737232 is 232737882501.

It is a super-2 number, since 2×105288737232² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6804432 + ... + 6819887.

It is an arithmetic number, because the mean of its divisors is an integer number (4054597632).

Almost surely, 2^105288737232 is an apocalyptic number.

105288737232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105288737232 is an abundant number, since it is smaller than the sum of its proper divisors (219079073328).

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

105288737232 is a wasteful number, since it uses less digits than its factorization.

105288737232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13624360 (or 13624354 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 105288737232 in words is "one hundred five billion, two hundred eighty-eight million, seven hundred thirty-seven thousand, two hundred thirty-two".