102817220 has 48 divisors (see below), whose sum is σ = 236573568. Its totient is φ = 37224960.

The previous prime is 102817213. The next prime is 102817229. The reversal of 102817220 is 22718201.

It is not an unprimeable number, because it can be changed into a prime (102817229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56972 + ... + 58748.

It is an arithmetic number, because the mean of its divisors is an integer number (4928616).

Almost surely, 2^102817220 is an apocalyptic number.

102817220 is a gapful number since it is divisible by the number (10) 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 102817220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118286784).

102817220 is an abundant number, since it is smaller than the sum of its proper divisors (133756348).

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

102817220 is a wasteful number, since it uses less digits than its factorization.

102817220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2060 (or 2058 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 23.

The square root of 102817220 is about 10139.8826423189. The cubic root of 102817220 is about 468.4773722540.

The spelling of 102817220 in words is "one hundred two million, eight hundred seventeen thousand, two hundred twenty".