102790772100 has 81 divisors (see below), whose sum is σ = 322222115397. Its totient is φ = 27408307680.

The previous prime is 102790772087. The next prime is 102790772101. The reversal of 102790772100 is 1277097201.

The square root of 102790772100 is 320610.

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., 37004677956 + 65786094144 = 192366^2 + 256488^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (102790772101) 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, 9612957 + ... + 9623643.

Almost surely, 2^102790772100 is an apocalyptic number.

102790772100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102790772100 is the 320610-th square number.

It is an amenable number.

102790772100 is an abundant number, since it is smaller than the sum of its proper divisors (219431343297).

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

102790772100 is an equidigital number, since it uses as much as digits as its factorization.

102790772100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21394 (or 10697 counting only the distinct ones).

The product of its (nonzero) digits is 12348, while the sum is 36.

Multiplying 102790772100 by its sum of digits (36), we get a square (3700467795600 = 1923660²).

102790772100 divided by its sum of digits (36) gives a square (2855299225 = 53435²).

The spelling of 102790772100 in words is "one hundred two billion, seven hundred ninety million, seven hundred seventy-two thousand, one hundred".