107133975 has 96 divisors (see below), whose sum is σ = 219777600. Its totient is φ = 50803200.

The previous prime is 107133947. The next prime is 107133979. The reversal of 107133975 is 579331701.

It is not a de Polignac number, because 107133975 - 2¹² = 107129879 is a prime.

It is a super-2 number, since 2×107133975² = 22955377198601250, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107133979) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 254265 + ... + 254685.

It is an arithmetic number, because the mean of its divisors is an integer number (2289350).

Almost surely, 2^107133975 is an apocalyptic number.

107133975 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

107133975 is an abundant number, since it is smaller than the sum of its proper divisors (112643625).

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

107133975 is a wasteful number, since it uses less digits than its factorization.

107133975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 19845, while the sum is 36.

The square root of 107133975 is about 10350.5543329814. The cubic root of 107133975 is about 474.9440007852.

The spelling of 107133975 in words is "one hundred seven million, one hundred thirty-three thousand, nine hundred seventy-five".