100164631632 has 120 divisors (see below), whose sum is σ = 292377161664. Its totient is φ = 29479836672.

The previous prime is 100164631631. The next prime is 100164631673. The reversal of 100164631632 is 236136461001.

It is a junction number, because it is equal to n+sod(n) for n = 100164631593 and 100164631602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100164631631) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81853 + ... + 455004.

Almost surely, 2^100164631632 is an apocalyptic number.

100164631632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100164631632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146188580832).

100164631632 is an abundant number, since it is smaller than the sum of its proper divisors (192212530032).

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

100164631632 is a wasteful number, since it uses less digits than its factorization.

100164631632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536917 (or 536898 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The spelling of 100164631632 in words is "one hundred billion, one hundred sixty-four million, six hundred thirty-one thousand, six hundred thirty-two".