106566610 has 16 divisors (see below), whose sum is σ = 191961432. Its totient is φ = 42595200.

The previous prime is 106566601. The next prime is 106566631. The reversal of 106566610 is 16665601.

It can be written as a sum of positive squares in 4 ways, for example, as 25512601 + 81054009 = 5051^2 + 9003^2 .

It is a super-2 number, since 2×106566610² = 22712884733784200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14350 + ... + 20470.

Almost surely, 2^106566610 is an apocalyptic number.

106566610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106566610 is a deficient number, since it is larger than the sum of its proper divisors (85394822).

106566610 is a wasteful number, since it uses less digits than its factorization.

106566610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7869.

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 106566610 is about 10323.1104808580. The cubic root of 106566610 is about 474.1041063384.

The spelling of 106566610 in words is "one hundred six million, five hundred sixty-six thousand, six hundred ten".