102317120 has 56 divisors (see below), whose sum is σ = 248863104. Its totient is φ = 40050176.

The previous prime is 102317119. The next prime is 102317123. The reversal of 102317120 is 21713201.

It is not an unprimeable number, because it can be changed into a prime (102317123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11639 + ... + 18441.

It is an arithmetic number, because the mean of its divisors is an integer number (4443984).

Almost surely, 2^102317120 is an apocalyptic number.

102317120 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 102317120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124431552).

102317120 is an abundant number, since it is smaller than the sum of its proper divisors (146545984).

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

102317120 is an equidigital number, since it uses as much as digits as its factorization.

102317120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6867 (or 6857 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 17.

The square root of 102317120 is about 10115.1925340055. The cubic root of 102317120 is about 467.7165839466.

The spelling of 102317120 in words is "one hundred two million, three hundred seventeen thousand, one hundred twenty".