102317220 has 144 divisors (see below), whose sum is σ = 340245360. Its totient is φ = 24772608.

The previous prime is 102317207. The next prime is 102317233. The reversal of 102317220 is 22713201.

It is an interprime number because it is at equal distance from previous prime (102317207) and next prime (102317233).

It can be written as a sum of positive squares in 8 ways, for example, as 5963364 + 96353856 = 2442^2 + 9816^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102317193 and 102317202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88164 + ... + 89316.

It is an arithmetic number, because the mean of its divisors is an integer number (2362815).

Almost surely, 2^102317220 is an apocalyptic number.

102317220 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 102317220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170122680).

102317220 is an abundant number, since it is smaller than the sum of its proper divisors (237928140).

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

102317220 is a wasteful number, since it uses less digits than its factorization.

102317220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1214 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 102317220 is about 10115.1974770639. The cubic root of 102317220 is about 467.7167363213.

The spelling of 102317220 in words is "one hundred two million, three hundred seventeen thousand, two hundred twenty".