105031397632 has 72 divisors (see below), whose sum is σ = 240807728000. Its totient is φ = 44787105792.

The previous prime is 105031397623. The next prime is 105031397659. The reversal of 105031397632 is 236793130501.

It is a super-2 number, since 2×105031397632² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 209344 + ... + 503872.

Almost surely, 2^105031397632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105031397632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120403864000).

105031397632 is an abundant number, since it is smaller than the sum of its proper divisors (135776330368).

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

105031397632 is an equidigital number, since it uses as much as digits as its factorization.

105031397632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294751 (or 294737 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 40.

The spelling of 105031397632 in words is "one hundred five billion, thirty-one million, three hundred ninety-seven thousand, six hundred thirty-two".