106160031 has 16 divisors (see below), whose sum is σ = 159431520. Its totient is φ = 69802560.

The previous prime is 106160023. The next prime is 106160059. The reversal of 106160031 is 130061601.

106160031 is a `hidden beast` number, since 1 + 0 + 61 + 600 + 3 + 1 = 666.

It is not a de Polignac number, because 106160031 - 2³ = 106160023 is a prime.

It is a super-2 number, since 2×106160031² = 22539904363841922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106159986 and 106160013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106160231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24960 + ... + 28901.

It is an arithmetic number, because the mean of its divisors is an integer number (9964470).

Almost surely, 2^106160031 is an apocalyptic number.

106160031 is a deficient number, since it is larger than the sum of its proper divisors (53271489).

106160031 is an equidigital number, since it uses as much as digits as its factorization.

106160031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53943 (or 53937 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 106160031 is about 10303.3990022710. The cubic root of 106160031 is about 473.5003949184.

The spelling of 106160031 in words is "one hundred six million, one hundred sixty thousand, thirty-one".