102289680 has 240 divisors, whose sum is σ = 372391344. Its totient is φ = 25067520.

The previous prime is 102289679. The next prime is 102289687. The reversal of 102289680 is 86982201.

It can be written as a sum of positive squares in 8 ways, for example, as 3326976 + 98962704 = 1824^2 + 9948^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (102289687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 746572 + ... + 746708.

Almost surely, 2^102289680 is an apocalyptic number.

102289680 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 102289680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186195672).

102289680 is an abundant number, since it is smaller than the sum of its proper divisors (270101664).

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

102289680 is a wasteful number, since it uses less digits than its factorization.

102289680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 102289680 is about 10113.8360674870. The cubic root of 102289680 is about 467.6747685575.

The spelling of 102289680 in words is "one hundred two million, two hundred eighty-nine thousand, six hundred eighty".