102282880 has 192 divisors, whose sum is σ = 300614400. Its totient is φ = 32587776.

The previous prime is 102282877. The next prime is 102282881. The reversal of 102282880 is 88282201.

It is not an unprimeable number, because it can be changed into a prime (102282881) 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, 1294681 + ... + 1294759.

It is an arithmetic number, because the mean of its divisors is an integer number (1565700).

Almost surely, 2^102282880 is an apocalyptic number.

102282880 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 102282880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150307200).

102282880 is an abundant number, since it is smaller than the sum of its proper divisors (198331520).

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

102282880 is an equidigital number, since it uses as much as digits as its factorization.

102282880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 31.

The square root of 102282880 is about 10113.4998887625. The cubic root of 102282880 is about 467.6644049871.

The spelling of 102282880 in words is "one hundred two million, two hundred eighty-two thousand, eight hundred eighty".