102251880 has 96 divisors (see below), whose sum is σ = 333590400. Its totient is φ = 27163008.

The previous prime is 102251879. The next prime is 102251881. The reversal of 102251880 is 88152201.

It is an interprime number because it is at equal distance from previous prime (102251879) and next prime (102251881).

It is not an unprimeable number, because it can be changed into a prime (102251881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157717 + ... + 158363.

It is an arithmetic number, because the mean of its divisors is an integer number (3474900).

Almost surely, 2^102251880 is an apocalyptic number.

102251880 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 102251880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166795200).

102251880 is an abundant number, since it is smaller than the sum of its proper divisors (231338520).

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

102251880 is a wasteful number, since it uses less digits than its factorization.

102251880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 102251880 is about 10111.9671676682. The cubic root of 102251880 is about 467.6171534775.

The spelling of 102251880 in words is "one hundred two million, two hundred fifty-one thousand, eight hundred eighty".