107133680 has 40 divisors (see below), whose sum is σ = 254394432. Its totient is φ = 41940224.

The previous prime is 107133671. The next prime is 107133709. The reversal of 107133680 is 86331701.

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

It is a super-2 number, since 2×107133680² = 22955250780684800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10487 + ... + 18006.

Almost surely, 2^107133680 is an apocalyptic number.

107133680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107133680 is an abundant number, since it is smaller than the sum of its proper divisors (147260752).

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

107133680 is a wasteful number, since it uses less digits than its factorization.

107133680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28553 (or 28547 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 107133680 is about 10350.5400825271. The cubic root of 107133680 is about 474.9435648556.

The spelling of 107133680 in words is "one hundred seven million, one hundred thirty-three thousand, six hundred eighty".