102640013 has 8 divisors (see below), whose sum is σ = 117416832. Its totient is φ = 87891696.

The previous prime is 102639997. The next prime is 102640049. The reversal of 102640013 is 310046201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102640013 - 2⁴ = 102639997 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102639973 and 102640000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102640073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1256 + ... + 14382.

It is an arithmetic number, because the mean of its divisors is an integer number (14677104).

Almost surely, 2^102640013 is an apocalyptic number.

It is an amenable number.

102640013 is a deficient number, since it is larger than the sum of its proper divisors (14776819).

102640013 is a wasteful number, since it uses less digits than its factorization.

102640013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14251.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 102640013 is about 10131.1407551174. The cubic root of 102640013 is about 468.2080749211.

Adding to 102640013 its reverse (310046201), we get a palindrome (412686214).

The spelling of 102640013 in words is "one hundred two million, six hundred forty thousand, thirteen".