104098254624 has 576 divisors, whose sum is σ = 385718215680. Its totient is φ = 27067944960.

The previous prime is 104098254569. The next prime is 104098254629. The reversal of 104098254624 is 426452890401.

It is a happy number.

104098254624 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 9 + 82 + 546 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 104098254624.

It is not an unprimeable number, because it can be changed into a prime (104098254629) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40175569 + ... + 40178159.

It is an arithmetic number, because the mean of its divisors is an integer number (669649680).

Almost surely, 2^104098254624 is an apocalyptic number.

104098254624 is a gapful number since it is divisible by the number (14) 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 104098254624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192859107840).

104098254624 is an abundant number, since it is smaller than the sum of its proper divisors (281619961056).

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

104098254624 is a wasteful number, since it uses less digits than its factorization.

104098254624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2710 (or 2689 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 104098254624 in words is "one hundred four billion, ninety-eight million, two hundred fifty-four thousand, six hundred twenty-four".