106165810 has 32 divisors (see below), whose sum is σ = 202532400. Its totient is φ = 39997440.

The previous prime is 106165789. The next prime is 106165823. The reversal of 106165810 is 18561601.

It can be written as a sum of positive squares in 8 ways, for example, as 2350089 + 103815721 = 1533^2 + 10189^2 .

It is a super-2 number, since 2×106165810² = 22542358425912200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7426 + ... + 16354.

Almost surely, 2^106165810 is an apocalyptic number.

106165810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106165810 is a deficient number, since it is larger than the sum of its proper divisors (96366590).

106165810 is a wasteful number, since it uses less digits than its factorization.

106165810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9006.

The product of its (nonzero) digits is 1440, while the sum is 28.

The square root of 106165810 is about 10303.6794398894. The cubic root of 106165810 is about 473.5089866929.

The spelling of 106165810 in words is "one hundred six million, one hundred sixty-five thousand, eight hundred ten".