107160075 has 72 divisors (see below), whose sum is σ = 216749520. Its totient is φ = 50131200.

The previous prime is 107160049. The next prime is 107160089. The reversal of 107160075 is 570061701.

It is not a de Polignac number, because 107160075 - 2⁵ = 107160043 is a prime.

It is a super-2 number, since 2×107160075² = 22966563348011250, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 71029 + ... + 72521.

It is an arithmetic number, because the mean of its divisors is an integer number (3010410).

Almost surely, 2^107160075 is an apocalyptic number.

107160075 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

107160075 is an abundant number, since it is smaller than the sum of its proper divisors (109589445).

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

107160075 is a wasteful number, since it uses less digits than its factorization.

107160075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1549 (or 1541 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The square root of 107160075 is about 10351.8150582398. The cubic root of 107160075 is about 474.9825663038.

The spelling of 107160075 in words is "one hundred seven million, one hundred sixty thousand, seventy-five".