100506978414 has 80 divisors (see below), whose sum is σ = 238758470016. Its totient is φ = 31545288000.

The previous prime is 100506978401. The next prime is 100506978443. The reversal of 100506978414 is 414879605001.

100506978414 is a `hidden beast` number, since 10 + 0 + 506 + 97 + 8 + 41 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 100506978414.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 84637 + ... + 456264.

Almost surely, 2^100506978414 is an apocalyptic number.

100506978414 is an abundant number, since it is smaller than the sum of its proper divisors (138251491602).

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

100506978414 is a wasteful number, since it uses less digits than its factorization.

100506978414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540983 (or 540974 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 100506978414 in words is "one hundred billion, five hundred six million, nine hundred seventy-eight thousand, four hundred fourteen".