102495173520100 has 27 divisors (see below), whose sum is σ = 222414746229417. Its totient is φ = 40998028912080.

The previous prime is 102495173520041. The next prime is 102495173520107. The reversal of 102495173520100 is 1025371594201.

The square root of 102495173520100 is 10123990.

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

It can be written as a sum of positive squares in only one way, i.e., 36898262467236 + 65596911052864 = 6074394^2 + 8099192^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102495173520107) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 100733701 + ... + 101746099.

Almost surely, 2^{102495173520100} is an apocalyptic number.

102495173520100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102495173520100 is the 10123990-th square number.

It is an amenable number.

102495173520100 is an abundant number, since it is smaller than the sum of its proper divisors (119919572709317).

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

102495173520100 is an frugal number, since it uses more digits than its factorization.

102495173520100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2024812 (or 1012406 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 40.

The spelling of 102495173520100 in words is "one hundred two trillion, four hundred ninety-five billion, one hundred seventy-three million, five hundred twenty thousand, one hundred".