100392295680 has 108 divisors (see below), whose sum is σ = 347346925380. Its totient is φ = 26771275776.

The previous prime is 100392295579. The next prime is 100392295699. The reversal of 100392295680 is 86592293001.

It can be written as a sum of positive squares in 2 ways, for example, as 38522697984 + 61869597696 = 196272^2 + 248736^2 .

It is a super-2 number, since 2×100392295680² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 4345785 + ... + 4368824.

It is an arithmetic number, because the mean of its divisors is an integer number (3216175235).

Almost surely, 2^100392295680 is an apocalyptic number.

100392295680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100392295680 is an abundant number, since it is smaller than the sum of its proper divisors (246954629700).

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

100392295680 is an equidigital number, since it uses as much as digits as its factorization.

100392295680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8714636 (or 8714619 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 100392295680 in words is "one hundred billion, three hundred ninety-two million, two hundred ninety-five thousand, six hundred eighty".