102109280 has 96 divisors (see below), whose sum is σ = 296944704. Its totient is φ = 32311296.

The previous prime is 102109279. The next prime is 102109313. The reversal of 102109280 is 82901201.

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, 11054 + ... + 18066.

It is an arithmetic number, because the mean of its divisors is an integer number (3093174).

Almost surely, 2^102109280 is an apocalyptic number.

102109280 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 102109280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148472352).

102109280 is an abundant number, since it is smaller than the sum of its proper divisors (194835424).

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

102109280 is a wasteful number, since it uses less digits than its factorization.

102109280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7048 (or 7040 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

The square root of 102109280 is about 10104.9136562368. The cubic root of 102109280 is about 467.3996734392.

The spelling of 102109280 in words is "one hundred two million, one hundred nine thousand, two hundred eighty".