102665313 has 24 divisors (see below), whose sum is σ = 154260288. Its totient is φ = 68233104.

The previous prime is 102665309. The next prime is 102665333. The reversal of 102665313 is 313566201.

102665313 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 653 + 1 + 3 = 666.

It is not a de Polignac number, because 102665313 - 2² = 102665309 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102665333) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 156895 + ... + 157547.

It is an arithmetic number, because the mean of its divisors is an integer number (6427512).

Almost surely, 2^102665313 is an apocalyptic number.

It is an amenable number.

102665313 is a deficient number, since it is larger than the sum of its proper divisors (51594975).

102665313 is an frugal number, since it uses more digits than its factorization.

102665313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1315 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 102665313 is about 10132.3893036144. The cubic root of 102665313 is about 468.2465416970.

The spelling of 102665313 in words is "one hundred two million, six hundred sixty-five thousand, three hundred thirteen".