106853139 has 24 divisors (see below), whose sum is σ = 161123040. Its totient is φ = 68151552.

The previous prime is 106853129. The next prime is 106853161. The reversal of 106853139 is 931358601.

It is a happy number.

It is not a de Polignac number, because 106853139 - 2²⁵ = 73298707 is a prime.

It is a super-2 number, since 2×106853139² = 22835186628306642, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (106853129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27682 + ... + 31304.

It is an arithmetic number, because the mean of its divisors is an integer number (6713460).

Almost surely, 2^106853139 is an apocalyptic number.

106853139 is a deficient number, since it is larger than the sum of its proper divisors (54269901).

106853139 is a wasteful number, since it uses less digits than its factorization.

106853139 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3771 (or 3768 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 106853139 is about 10336.9792009078. The cubic root of 106853139 is about 474.5286389606.

It can be divided in two parts, 10685 and 3139, that added together give a cube (13824 = 24³).

The spelling of 106853139 in words is "one hundred six million, eight hundred fifty-three thousand, one hundred thirty-nine".