104714391600 has 1440 divisors, whose sum is σ = 482949089280. Its totient is φ = 21337344000.

The previous prime is 104714391583. The next prime is 104714391619. The reversal of 104714391600 is 6193417401.

104714391600 is a `hidden beast` number, since 1 + 0 + 4 + 7 + 1 + 43 + 9 + 1 + 600 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 213267355 + ... + 213267845.

It is an arithmetic number, because the mean of its divisors is an integer number (335381312).

Almost surely, 2^104714391600 is an apocalyptic number.

104714391600 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 104714391600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241474544640).

104714391600 is an abundant number, since it is smaller than the sum of its proper divisors (378234697680).

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

104714391600 is a wasteful number, since it uses less digits than its factorization.

104714391600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 104714391600 in words is "one hundred four billion, seven hundred fourteen million, three hundred ninety-one thousand, six hundred".