100575242496 has 81 divisors (see below), whose sum is σ = 290027115651. Its totient is φ = 33520006656.

The previous prime is 100575242483. The next prime is 100575242531. The reversal of 100575242496 is 694242575001.

The square root of 100575242496 is 317136.

It is a perfect power (a square), and thus also a powerful number.

100575242496 is a `hidden beast` number, since 10 + 0 + 5 + 7 + 524 + 24 + 96 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 15219225 + ... + 15225831.

Almost surely, 2^100575242496 is an apocalyptic number.

100575242496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

100575242496 is the 317136-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100575242496

100575242496 is an abundant number, since it is smaller than the sum of its proper divisors (189451873155).

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

100575242496 is an frugal number, since it uses more digits than its factorization.

100575242496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13236 (or 6612 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 100575242496 in words is "one hundred billion, five hundred seventy-five million, two hundred forty-two thousand, four hundred ninety-six".