104921692800 has 192 divisors, whose sum is σ = 346322476800. Its totient is φ = 27919482880.

The previous prime is 104921692789. The next prime is 104921692801. The reversal of 104921692800 is 8296129401.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×104921692800² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (104921692801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4586992 + ... + 4609808.

It is an arithmetic number, because the mean of its divisors is an integer number (1803762900).

Almost surely, 2^104921692800 is an apocalyptic number.

104921692800 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 104921692800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173161238400).

104921692800 is an abundant number, since it is smaller than the sum of its proper divisors (241400784000).

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

104921692800 is a wasteful number, since it uses less digits than its factorization.

104921692800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23323 (or 23306 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The spelling of 104921692800 in words is "one hundred four billion, nine hundred twenty-one million, six hundred ninety-two thousand, eight hundred".