100966387032 has 128 divisors (see below), whose sum is σ = 320608281600. Its totient is φ = 28840333824.

The previous prime is 100966386971. The next prime is 100966387033. The reversal of 100966387032 is 230783669001.

100966387032 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 6 + 638 + 7 + 0 + 3 + 2 = 666.

It is a super-2 number, since 2×100966387032² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100966387033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10084573 + ... + 10094579.

It is an arithmetic number, because the mean of its divisors is an integer number (2504752200).

Almost surely, 2^100966387032 is an apocalyptic number.

100966387032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100966387032 is an abundant number, since it is smaller than the sum of its proper divisors (219641894568).

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

100966387032 is a wasteful number, since it uses less digits than its factorization.

100966387032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16702 (or 16692 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 100966387032 in words is "one hundred billion, nine hundred sixty-six million, three hundred eighty-seven thousand, thirty-two".