102089280 has 224 divisors, whose sum is σ = 354787200. Its totient is φ = 24772608.

The previous prime is 102089269. The next prime is 102089321. The reversal of 102089280 is 82980201.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 528864 + ... + 529056.

Almost surely, 2^102089280 is an apocalyptic number.

102089280 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 102089280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177393600).

102089280 is an abundant number, since it is smaller than the sum of its proper divisors (252697920).

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

102089280 is a wasteful number, since it uses less digits than its factorization.

102089280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 102089280 is about 10103.9239902129. The cubic root of 102089280 is about 467.3691551426.

The spelling of 102089280 in words is "one hundred two million, eighty-nine thousand, two hundred eighty".