106814031 has 16 divisors (see below), whose sum is σ = 143742720. Its totient is φ = 70551360.

The previous prime is 106814023. The next prime is 106814039. The reversal of 106814031 is 130418601.

It is an interprime number because it is at equal distance from previous prime (106814023) and next prime (106814039).

It is not a de Polignac number, because 106814031 - 2³ = 106814023 is a prime.

It is a super-2 number, since 2×106814031² = 22818474436937922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106813992 and 106814010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106814039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 260955 + ... + 261363.

It is an arithmetic number, because the mean of its divisors is an integer number (8983920).

Almost surely, 2^106814031 is an apocalyptic number.

106814031 is a deficient number, since it is larger than the sum of its proper divisors (36928689).

106814031 is a wasteful number, since it uses less digits than its factorization.

106814031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006.

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 106814031 is about 10335.0873726350. The cubic root of 106814031 is about 474.4707397709.

The spelling of 106814031 in words is "one hundred six million, eight hundred fourteen thousand, thirty-one".