102617856 has 108 divisors (see below), whose sum is σ = 322849800. Its totient is φ = 31088640.

The previous prime is 102617833. The next prime is 102617857. The reversal of 102617856 is 658716201.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 102617856.

It is not an unprimeable number, because it can be changed into a prime (102617857) 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 11 ways as a sum of consecutive naturals, for example, 23320 + ... + 27368.

It is an arithmetic number, because the mean of its divisors is an integer number (2989350).

Almost surely, 2^102617856 is an apocalyptic number.

102617856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102617856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161424900).

102617856 is an abundant number, since it is smaller than the sum of its proper divisors (220231944).

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

102617856 is a wasteful number, since it uses less digits than its factorization.

102617856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4082 (or 4065 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 102617856 is about 10130.0471864646. The cubic root of 102617856 is about 468.1743816515.

The spelling of 102617856 in words is "one hundred two million, six hundred seventeen thousand, eight hundred fifty-six".