102218172 has 48 divisors (see below), whose sum is σ = 274444800. Its totient is φ = 29005632.

The previous prime is 102218167. The next prime is 102218183. The reversal of 102218172 is 271812201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8433 + ... + 16599.

It is an arithmetic number, because the mean of its divisors is an integer number (5717600).

Almost surely, 2^102218172 is an apocalyptic number.

102218172 is a gapful number since it is divisible by the number (12) 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 102218172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137222400).

102218172 is an abundant number, since it is smaller than the sum of its proper divisors (172226628).

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

102218172 is a wasteful number, since it uses less digits than its factorization.

102218172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8330 (or 8328 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 102218172 is about 10110.3002922762. The cubic root of 102218172 is about 467.5657634806.

The spelling of 102218172 in words is "one hundred two million, two hundred eighteen thousand, one hundred seventy-two".