100076969664 has 840 divisors, whose sum is σ = 363261127680. Its totient is φ = 27128908800.

The previous prime is 100076969653. The next prime is 100076969687. The reversal of 100076969664 is 466969670001.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 100076969664.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 559089127 + ... + 559089305.

Almost surely, 2^100076969664 is an apocalyptic number.

100076969664 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 100076969664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181630563840).

100076969664 is an abundant number, since it is smaller than the sum of its proper divisors (263184158016).

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

100076969664 is a wasteful number, since it uses less digits than its factorization.

100076969664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 100076969664 in words is "one hundred billion, seventy-six million, nine hundred sixty-nine thousand, six hundred sixty-four".