104864772096 has 728 divisors, whose sum is σ = 373867382880. Its totient is φ = 28760997888.

The previous prime is 104864772083. The next prime is 104864772097. The reversal of 104864772096 is 690277468401.

104864772096 is a `hidden beast` number, since 1 + 0 + 4 + 86 + 477 + 2 + 0 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104864772097) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 606154666 + ... + 606154838.

Almost surely, 2^104864772096 is an apocalyptic number.

104864772096 is a gapful number since it is divisible by the number (16) 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 104864772096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186933691440).

104864772096 is an abundant number, since it is smaller than the sum of its proper divisors (269002610784).

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

104864772096 is an frugal number, since it uses more digits than its factorization.

104864772096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 104864772096 in words is "one hundred four billion, eight hundred sixty-four million, seven hundred seventy-two thousand, ninety-six".