107465120 has 96 divisors (see below), whose sum is σ = 292118400. Its totient is φ = 36596736.

The previous prime is 107465081. The next prime is 107465123. The reversal of 107465120 is 21564701.

It is a super-2 number, since 2×107465120² = 23097504033228800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 107465120.

It is not an unprimeable number, because it can be changed into a prime (107465123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256271 + ... + 256689.

It is an arithmetic number, because the mean of its divisors is an integer number (3042900).

Almost surely, 2^107465120 is an apocalyptic number.

107465120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107465120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146059200).

107465120 is an abundant number, since it is smaller than the sum of its proper divisors (184653280).

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

107465120 is a wasteful number, since it uses less digits than its factorization.

107465120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 107465120 is about 10366.5384772353. The cubic root of 107465120 is about 475.4328390702.

The spelling of 107465120 in words is "one hundred seven million, four hundred sixty-five thousand, one hundred twenty".