107313120 has 96 divisors (see below), whose sum is σ = 375611040. Its totient is φ = 28615680.

The previous prime is 107313119. The next prime is 107313149. The reversal of 107313120 is 21313701.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×107313120² = 23032211448268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 107313093 and 107313102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8101 + ... + 16740.

It is an arithmetic number, because the mean of its divisors is an integer number (3912615).

Almost surely, 2^107313120 is an apocalyptic number.

107313120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107313120 is an abundant number, since it is smaller than the sum of its proper divisors (268297920).

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

107313120 is a wasteful number, since it uses less digits than its factorization.

107313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24865 (or 24851 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 107313120 is about 10359.2046026710. The cubic root of 107313120 is about 475.2085806021.

Adding to 107313120 its reverse (21313701), we get a palindrome (128626821).

The spelling of 107313120 in words is "one hundred seven million, three hundred thirteen thousand, one hundred twenty".