107159031 has 100 divisors (see below), whose sum is σ = 203352600. Its totient is φ = 56010528.

The previous prime is 107159029. The next prime is 107159051. The reversal of 107159031 is 130951701.

It is a happy number.

107159031 is a `hidden beast` number, since 1 + 0 + 71 + 590 + 3 + 1 = 666.

It is not a de Polignac number, because 107159031 - 2¹ = 107159029 is a prime.

It is a super-2 number, since 2×107159031² = 22966115849717922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 107158986 and 107159004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107159021) 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 99 ways as a sum of consecutive naturals, for example, 3695125 + ... + 3695153.

It is an arithmetic number, because the mean of its divisors is an integer number (2033526).

Almost surely, 2^107159031 is an apocalyptic number.

107159031 is a deficient number, since it is larger than the sum of its proper divisors (96193569).

107159031 is an frugal number, since it uses more digits than its factorization.

107159031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 945, while the sum is 27.

The square root of 107159031 is about 10351.7646321775. The cubic root of 107159031 is about 474.9810238033.

The spelling of 107159031 in words is "one hundred seven million, one hundred fifty-nine thousand, thirty-one".