104774092800 has 576 divisors, whose sum is σ = 376715888640. Its totient is φ = 25535447040.

The previous prime is 104774092777. The next prime is 104774092823. The reversal of 104774092800 is 8290477401.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (104774092777) and next prime (104774092823).

It is a super-2 number, since 2×104774092800² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 273561409 + ... + 273561791.

It is an arithmetic number, because the mean of its divisors is an integer number (654020640).

Almost surely, 2^104774092800 is an apocalyptic number.

104774092800 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 104774092800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188357944320).

104774092800 is an abundant number, since it is smaller than the sum of its proper divisors (271941795840).

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

104774092800 is a wasteful number, since it uses less digits than its factorization.

104774092800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The spelling of 104774092800 in words is "one hundred four billion, seven hundred seventy-four million, ninety-two thousand, eight hundred".