107131120 has 40 divisors (see below), whose sum is σ = 262193040. Its totient is φ = 40596480.

The previous prime is 107131117. The next prime is 107131121. The reversal of 107131120 is 21131701.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×107131120² = 22954153744908800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 107131094 and 107131103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107131121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33721 + ... + 36760.

It is an arithmetic number, because the mean of its divisors is an integer number (6554826).

Almost surely, 2^107131120 is an apocalyptic number.

107131120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107131120 is an abundant number, since it is smaller than the sum of its proper divisors (155061920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

107131120 is a wasteful number, since it uses less digits than its factorization.

107131120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70513 (or 70507 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 16.

The square root of 107131120 is about 10350.4164167438. The cubic root of 107131120 is about 474.9397818398.

Adding to 107131120 its reverse (21131701), we get a palindrome (128262821).

The spelling of 107131120 in words is "one hundred seven million, one hundred thirty-one thousand, one hundred twenty".