100531476864 has 640 divisors, whose sum is σ = 371563315200. Its totient is φ = 26273673216.

The previous prime is 100531476863. The next prime is 100531476869. The reversal of 100531476864 is 468674135001.

100531476864 is a `hidden beast` number, since 10 + 0 + 531 + 47 + 6 + 8 + 64 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100531476863) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 119822557 + ... + 119823395.

It is an arithmetic number, because the mean of its divisors is an integer number (580567680).

Almost surely, 2^100531476864 is an apocalyptic number.

100531476864 is a gapful number since it is divisible by the number (14) 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 100531476864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185781657600).

100531476864 is an abundant number, since it is smaller than the sum of its proper divisors (271031838336).

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

100531476864 is a wasteful number, since it uses less digits than its factorization.

100531476864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 100531476864 in words is "one hundred billion, five hundred thirty-one million, four hundred seventy-six thousand, eight hundred sixty-four".