100765614096 has 135 divisors (see below), whose sum is σ = 328132028991. Its totient is φ = 28782556992.

The previous prime is 100765614073. The next prime is 100765614097. The reversal of 100765614096 is 690416567001.

The square root of 100765614096 is 317436.

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

100765614096 is a `hidden beast` number, since 10 + 0 + 76 + 561 + 4 + 0 + 9 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (100765614097) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 26662735 + ... + 26666513.

Almost surely, 2^100765614096 is an apocalyptic number.

100765614096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

100765614096 is the 317436-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100765614096

100765614096 is an abundant number, since it is smaller than the sum of its proper divisors (227366414895).

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

100765614096 is an frugal number, since it uses more digits than its factorization.

100765614096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7586 (or 3791 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 100765614096 in words is "one hundred billion, seven hundred sixty-five million, six hundred fourteen thousand, ninety-six".