102559680 has 168 divisors, whose sum is σ = 356616000. Its totient is φ = 27052032.

The previous prime is 102559643. The next prime is 102559729. The reversal of 102559680 is 86955201.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 429001 + ... + 429239.

Almost surely, 2^102559680 is an apocalyptic number.

102559680 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 102559680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178308000).

102559680 is an abundant number, since it is smaller than the sum of its proper divisors (254056320).

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

102559680 is a wasteful number, since it uses less digits than its factorization.

102559680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 102559680 is about 10127.1753218753. The cubic root of 102559680 is about 468.0858926287.

The spelling of 102559680 in words is "one hundred two million, five hundred fifty-nine thousand, six hundred eighty".