100425713976 has 256 divisors, whose sum is σ = 329295974400. Its totient is φ = 27764425728.

The previous prime is 100425713959. The next prime is 100425714113. The reversal of 100425713976 is 679317524001.

100425713976 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 2 + 571 + 3 + 9 + 76 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5841345 + ... + 5858511.

It is an arithmetic number, because the mean of its divisors is an integer number (1286312400).

Almost surely, 2^100425713976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100425713976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164647987200).

100425713976 is an abundant number, since it is smaller than the sum of its proper divisors (228870260424).

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

100425713976 is a wasteful number, since it uses less digits than its factorization.

100425713976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17315 (or 17305 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 100425713976 in words is "one hundred billion, four hundred twenty-five million, seven hundred thirteen thousand, nine hundred seventy-six".