102872280 has 256 divisors, whose sum is σ = 377395200. Its totient is φ = 21934080.

The previous prime is 102872279. The next prime is 102872303. The reversal of 102872280 is 82278201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 998709 + ... + 998811.

It is an arithmetic number, because the mean of its divisors is an integer number (1474200).

Almost surely, 2^102872280 is an apocalyptic number.

102872280 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 102872280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188697600).

102872280 is an abundant number, since it is smaller than the sum of its proper divisors (274522920).

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

102872280 is a wasteful number, since it uses less digits than its factorization.

102872280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 102872280 is about 10142.5973004946. The cubic root of 102872280 is about 468.5609826359.

The spelling of 102872280 in words is "one hundred two million, eight hundred seventy-two thousand, two hundred eighty".