100851371424 has 72 divisors (see below), whose sum is σ = 286828433892. Its totient is φ = 33613332480.

The previous prime is 100851371393. The next prime is 100851371437. The reversal of 100851371424 is 424173158001.

100851371424 is a `hidden beast` number, since 100 + 8 + 513 + 7 + 14 + 24 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 100826571024 + 24800400 = 317532^2 + 4980^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3857982 + ... + 3884034.

Almost surely, 2^100851371424 is an apocalyptic number.

It is an amenable number.

100851371424 is an abundant number, since it is smaller than the sum of its proper divisors (185977062468).

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

100851371424 is a wasteful number, since it uses less digits than its factorization.

100851371424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39510 (or 39499 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 100851371424 in words is "one hundred billion, eight hundred fifty-one million, three hundred seventy-one thousand, four hundred twenty-four".