104763985200 has 240 divisors, whose sum is σ = 426151375360. Its totient is φ = 23946036480.

The previous prime is 104763985153. The next prime is 104763985223. The reversal of 104763985200 is 2589367401.

104763985200 is a `hidden beast` number, since 1 + 0 + 4 + 7 + 639 + 8 + 5 + 2 + 0 + 0 = 666.

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

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 47 ways as a sum of consecutive naturals, for example, 617284 + ... + 768483.

It is a 1-persistent number, because it is pandigital, but 2⋅104763985200 = 209527970400 is not.

Almost surely, 2^104763985200 is an apocalyptic number.

104763985200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104763985200 is an abundant number, since it is smaller than the sum of its proper divisors (321387390160).

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

104763985200 is a wasteful number, since it uses less digits than its factorization.

104763985200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1385801 (or 1385784 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 104763985200 in words is "one hundred four billion, seven hundred sixty-three million, nine hundred eighty-five thousand, two hundred".