102156313 has 8 divisors (see below), whose sum is σ = 116812800. Its totient is φ = 87515520.

The previous prime is 102156269. The next prime is 102156343. The reversal of 102156313 is 313651201.

It is a happy number.

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 102156313 - 2¹⁷ = 102025241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102156343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18888 + ... + 23686.

It is an arithmetic number, because the mean of its divisors is an integer number (14601600).

Almost surely, 2^102156313 is an apocalyptic number.

It is an amenable number.

102156313 is a deficient number, since it is larger than the sum of its proper divisors (14656487).

102156313 is an equidigital number, since it uses as much as digits as its factorization.

102156313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7847.

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 102156313 is about 10107.2406224449. The cubic root of 102156313 is about 467.4714260897.

The spelling of 102156313 in words is "one hundred two million, one hundred fifty-six thousand, three hundred thirteen".