100057337856 has 364 divisors, whose sum is σ = 342926633952. Its totient is φ = 28581838848.

The previous prime is 100057337843. The next prime is 100057337893. The reversal of 100057337856 is 658733750001.

100057337856 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 573 + 3 + 78 + 5 + 6 = 666.

It is a super-2 number, since 2×100057337856² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 20899495 + ... + 20904281.

Almost surely, 2^100057337856 is an apocalyptic number.

100057337856 is a gapful number since it is divisible by the number (16) 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 100057337856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171463316976).

100057337856 is an abundant number, since it is smaller than the sum of its proper divisors (242869296096).

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

100057337856 is an frugal number, since it uses more digits than its factorization.

100057337856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4836 (or 4799 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

It can be divided in two parts, 10005 and 7337856, that added together give a triangular number (7347861 = T₃₈₃₃).

The spelling of 100057337856 in words is "one hundred billion, fifty-seven million, three hundred thirty-seven thousand, eight hundred fifty-six".