103800730999680 has 768 divisors, whose sum is σ = 423283209935040. Its totient is φ = 23107747184640.

The previous prime is 103800730999549. The next prime is 103800730999703. The reversal of 103800730999680 is 86999037008301.

103800730999680 is a `hidden beast` number, since 1 + 0 + 380 + 0 + 7 + 3 + 0 + 99 + 96 + 80 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 158643762 + ... + 159296718.

Almost surely, 2^{103800730999680} is an apocalyptic number.

103800730999680 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 103800730999680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211641604967520).

103800730999680 is an abundant number, since it is smaller than the sum of its proper divisors (319482478935360).

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

103800730999680 is a wasteful number, since it uses less digits than its factorization.

103800730999680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653199 (or 653184 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 63.

The spelling of 103800730999680 in words is "one hundred three trillion, eight hundred billion, seven hundred thirty million, nine hundred ninety-nine thousand, six hundred eighty".