100509685056 has 896 divisors, whose sum is σ = 355518720000. Its totient is φ = 27517501440.

The previous prime is 100509685043. The next prime is 100509685093. The reversal of 100509685056 is 650586905001.

It is a happy number.

100509685056 is a `hidden beast` number, since 1 + 0 + 0 + 50 + 96 + 8 + 505 + 6 = 666.

It is a super-3 number, since 3×100509685056³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1129322260 + ... + 1129322348.

Almost surely, 2^100509685056 is an apocalyptic number.

100509685056 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 100509685056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177759360000).

100509685056 is an abundant number, since it is smaller than the sum of its proper divisors (255009034944).

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

100509685056 is a wasteful number, since it uses less digits than its factorization.

100509685056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The spelling of 100509685056 in words is "one hundred billion, five hundred nine million, six hundred eighty-five thousand, fifty-six".