104892023808 has 1056 divisors, whose sum is σ = 386263987200. Its totient is φ = 26940211200.

The previous prime is 104892023807. The next prime is 104892023837. The reversal of 104892023808 is 808320298401.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-2 number, since 2×104892023808² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (104892023807) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1477352413 + ... + 1477352483.

Almost surely, 2^104892023808 is an apocalyptic number.

104892023808 is a gapful number since it is divisible by the number (18) 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 104892023808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193131993600).

104892023808 is an abundant number, since it is smaller than the sum of its proper divisors (281371963392).

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

104892023808 is a wasteful number, since it uses less digits than its factorization.

104892023808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 104892023808 in words is "one hundred four billion, eight hundred ninety-two million, twenty-three thousand, eight hundred eight".