104873164069800 has 768 divisors, whose sum is σ = 394148772864000. Its totient is φ = 22533157186560.

The previous prime is 104873164069777. The next prime is 104873164069837. The reversal of 104873164069800 is 8960461378401.

It is a super-2 number, since 2×104873164069800² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8363751931 + ... + 8363764469.

It is an arithmetic number, because the mean of its divisors is an integer number (513214548000).

Almost surely, 2^{104873164069800} is an apocalyptic number.

104873164069800 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 104873164069800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197074386432000).

104873164069800 is an abundant number, since it is smaller than the sum of its proper divisors (289275608794200).

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

104873164069800 is a wasteful number, since it uses less digits than its factorization.

104873164069800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13390 (or 13381 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 57.

The spelling of 104873164069800 in words is "one hundred four trillion, eight hundred seventy-three billion, one hundred sixty-four million, sixty-nine thousand, eight hundred".