10606940100 has 81 divisors (see below), whose sum is σ = 33256551783. Its totient is φ = 2827693440.

The previous prime is 10606940081. The next prime is 10606940111. The reversal of 10606940100 is 104960601.

The square root of 10606940100 is 102990.

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

10606940100 is a `hidden beast` number, since 1 + 0 + 606 + 9 + 40 + 10 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1013912964 + 9593027136 = 31842^2 + 97944^2 .

It is a super-2 number, since 2×10606940100² (a number of 21 digits) contains 22 as substring.

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, 3087984 + ... + 3091416.

Almost surely, 2^10606940100 is an apocalyptic number.

10606940100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10606940100 is the 102990-th square number.

It is an amenable number.

10606940100 is an abundant number, since it is smaller than the sum of its proper divisors (22649611683).

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

10606940100 is an equidigital number, since it uses as much as digits as its factorization.

10606940100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6886 (or 3443 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Multiplying 10606940100 by its product of nonzero digits (1296), we get a square (13746594369600 = 3707640²).

The spelling of 10606940100 in words is "ten billion, six hundred six million, nine hundred forty thousand, one hundred".