100707268032 has 672 divisors, whose sum is σ = 369015264000. Its totient is φ = 26771834880.

The previous prime is 100707268021. The next prime is 100707268097. The reversal of 100707268032 is 230862707001.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 94916782 + ... + 94917842.

Almost surely, 2^100707268032 is an apocalyptic number.

100707268032 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 100707268032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184507632000).

100707268032 is an abundant number, since it is smaller than the sum of its proper divisors (268307995968).

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

100707268032 is a wasteful number, since it uses less digits than its factorization.

100707268032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 100707268032 in words is "one hundred billion, seven hundred seven million, two hundred sixty-eight thousand, thirty-two".