100178487864 has 576 divisors, whose sum is σ = 355350996000. Its totient is φ = 25239029760.

The previous prime is 100178487847. The next prime is 100178487887. The reversal of 100178487864 is 468784871001.

100178487864 is a `hidden beast` number, since 10 + 0 + 1 + 78 + 487 + 86 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 100178487864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 144975759 + ... + 144976449.

Almost surely, 2^100178487864 is an apocalyptic number.

100178487864 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 100178487864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177675498000).

100178487864 is an abundant number, since it is smaller than the sum of its proper divisors (255172508136).

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

100178487864 is a wasteful number, since it uses less digits than its factorization.

100178487864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 54.

The spelling of 100178487864 in words is "one hundred billion, one hundred seventy-eight million, four hundred eighty-seven thousand, eight hundred sixty-four".