106595720100 has 81 divisors (see below), whose sum is σ = 334149066433. Its totient is φ = 28422913440.

The previous prime is 106595720093. The next prime is 106595720111. The reversal of 106595720100 is 1027595601.

The square root of 106595720100 is 326490.

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

106595720100 is a `hidden beast` number, since 10 + 65 + 9 + 572 + 0 + 10 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 38374459236 + 68221260864 = 195894^2 + 261192^2 .

It is a super-2 number, since 2×106595720100² (a number of 23 digits) contains 22 as substring.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9789259 + ... + 9800141.

Almost surely, 2^106595720100 is an apocalyptic number.

106595720100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106595720100 is the 326490-th square number.

It is an amenable number.

106595720100 is an abundant number, since it is smaller than the sum of its proper divisors (227553346333).

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

106595720100 is an equidigital number, since it uses as much as digits as its factorization.

106595720100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21786 (or 10893 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

Multiplying 106595720100 by its sum of digits (36), we get a square (3837445923600 = 1958940²).

106595720100 divided by its sum of digits (36) gives a square (2960992225 = 54415²).

The spelling of 106595720100 in words is "one hundred six billion, five hundred ninety-five million, seven hundred twenty thousand, one hundred".