107387313 has 16 divisors (see below), whose sum is σ = 157346496. Its totient is φ = 64605440.

The previous prime is 107387303. The next prime is 107387321. The reversal of 107387313 is 313783701.

It is a cyclic number.

It is not a de Polignac number, because 107387313 - 2¹⁰ = 107386289 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (107387303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7356 + ... + 16397.

It is an arithmetic number, because the mean of its divisors is an integer number (9834156).

Almost surely, 2^107387313 is an apocalyptic number.

It is an amenable number.

107387313 is a deficient number, since it is larger than the sum of its proper divisors (49959183).

107387313 is a wasteful number, since it uses less digits than its factorization.

107387313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23904.

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 107387313 is about 10362.7850021121. The cubic root of 107387313 is about 475.3180702529.

The spelling of 107387313 in words is "one hundred seven million, three hundred eighty-seven thousand, three hundred thirteen".