104365161093600 has 2304 divisors, whose sum is σ = 432404324352000. Its totient is φ = 24061905100800.

The previous prime is 104365161093581. The next prime is 104365161093643. The reversal of 104365161093600 is 6390161563401.

104365161093600 is a `hidden beast` number, since 1 + 0 + 4 + 36 + 5 + 1 + 6 + 1 + 0 + 9 + 3 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 217881338161 + ... + 217881338639.

It is an arithmetic number, because the mean of its divisors is an integer number (187675488000).

Almost surely, 2^{104365161093600} is an apocalyptic number.

104365161093600 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 104365161093600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216202162176000).

104365161093600 is an abundant number, since it is smaller than the sum of its proper divisors (328039163258400).

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

104365161093600 is a wasteful number, since it uses less digits than its factorization.

104365161093600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 104365161093600 in words is "one hundred four trillion, three hundred sixty-five billion, one hundred sixty-one million, ninety-three thousand, six hundred".