102504487680 has 648 divisors, whose sum is σ = 416467632672. Its totient is φ = 23207804928.

The previous prime is 102504487669. The next prime is 102504487693. The reversal of 102504487680 is 86784405201.

102504487680 is a `hidden beast` number, since 1 + 0 + 2 + 504 + 4 + 87 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 63785437 + ... + 63787043.

It is an arithmetic number, because the mean of its divisors is an integer number (642696964).

Almost surely, 2^102504487680 is an apocalyptic number.

102504487680 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 102504487680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208233816336).

102504487680 is an abundant number, since it is smaller than the sum of its proper divisors (313963144992).

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

102504487680 is a wasteful number, since it uses less digits than its factorization.

102504487680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1761 (or 1737 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 102504487680 in words is "one hundred two billion, five hundred four million, four hundred eighty-seven thousand, six hundred eighty".