104889185856 has 672 divisors, whose sum is σ = 382235293440. Its totient is φ = 26763706368.

The previous prime is 104889185803. The next prime is 104889185893. The reversal of 104889185856 is 658581988401.

104889185856 is a `hidden beast` number, since 1 + 0 + 48 + 8 + 9 + 1 + 8 + 585 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×104889185856² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 104889185793 and 104889185802.

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, 389922490 + ... + 389922758.

It is an arithmetic number, because the mean of its divisors is an integer number (568802520).

Almost surely, 2^104889185856 is an apocalyptic number.

104889185856 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 104889185856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191117646720).

104889185856 is an abundant number, since it is smaller than the sum of its proper divisors (277346107584).

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

104889185856 is a wasteful number, since it uses less digits than its factorization.

104889185856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 63.

The spelling of 104889185856 in words is "one hundred four billion, eight hundred eighty-nine million, one hundred eighty-five thousand, eight hundred fifty-six".