100877094954 has 96 divisors (see below), whose sum is σ = 240165184896. Its totient is φ = 31625303040.

The previous prime is 100877094931. The next prime is 100877094959. The reversal of 100877094954 is 459490778001.

100877094954 is a `hidden beast` number, since 1 + 0 + 0 + 87 + 70 + 9 + 495 + 4 = 666.

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 100877094954.

It is not an unprimeable number, because it can be changed into a prime (100877094959) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14678139 + ... + 14685009.

It is an arithmetic number, because the mean of its divisors is an integer number (2501720676).

Almost surely, 2^100877094954 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100877094954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120082592448).

100877094954 is an abundant number, since it is smaller than the sum of its proper divisors (139288089942).

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

100877094954 is a wasteful number, since it uses less digits than its factorization.

100877094954 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8682 (or 8670 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 100877094954 in words is "one hundred billion, eight hundred seventy-seven million, ninety-four thousand, nine hundred fifty-four".