102315906 has 96 divisors (see below), whose sum is σ = 285747840. Its totient is φ = 26563680.

The previous prime is 102315821. The next prime is 102315907. The reversal of 102315906 is 609513201.

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

It is a self number, because there is not a number n which added to its sum of digits gives 102315906.

It is not an unprimeable number, because it can be changed into a prime (102315907) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44620 + ... + 46856.

It is an arithmetic number, because the mean of its divisors is an integer number (2976540).

Almost surely, 2^102315906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102315906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142873920).

102315906 is an abundant number, since it is smaller than the sum of its proper divisors (183431934).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102315906 is a wasteful number, since it uses less digits than its factorization.

102315906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2277 (or 2260 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 102315906 is about 10115.1325250834. The cubic root of 102315906 is about 467.7147341089.

The spelling of 102315906 in words is "one hundred two million, three hundred fifteen thousand, nine hundred six".