107664513 has 16 divisors (see below), whose sum is σ = 156778752. Its totient is φ = 65178000.

The previous prime is 107664509. The next prime is 107664517. The reversal of 107664513 is 315466701.

It is an interprime number because it is at equal distance from previous prime (107664509) and next prime (107664517).

It is not a de Polignac number, because 107664513 - 2² = 107664509 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (107664517) 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, 49458 + ... + 51588.

It is an arithmetic number, because the mean of its divisors is an integer number (9798672).

Almost surely, 2^107664513 is an apocalyptic number.

It is an amenable number.

107664513 is a deficient number, since it is larger than the sum of its proper divisors (49114239).

107664513 is a wasteful number, since it uses less digits than its factorization.

107664513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3676.

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 107664513 is about 10376.1511650515. The cubic root of 107664513 is about 475.7267000315.

The spelling of 107664513 in words is "one hundred seven million, six hundred sixty-four thousand, five hundred thirteen".