104185300190400 has 2016 divisors, whose sum is σ = 445209057296640. Its totient is φ = 22774099968000.

The previous prime is 104185300190359. The next prime is 104185300190449. The reversal of 104185300190400 is 4091003581401.

104185300190400 is a `hidden beast` number, since 1 + 0 + 4 + 18 + 53 + 0 + 0 + 190 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 19803323770 + ... + 19803329030.

It is an arithmetic number, because the mean of its divisors is an integer number (220837826040).

Almost surely, 2^{104185300190400} is an apocalyptic number.

104185300190400 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 104185300190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222604528648320).

104185300190400 is an abundant number, since it is smaller than the sum of its proper divisors (341023757106240).

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

104185300190400 is a wasteful number, since it uses less digits than its factorization.

104185300190400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5535 (or 5517 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 104185300190400 in words is "one hundred four trillion, one hundred eighty-five billion, three hundred million, one hundred ninety thousand, four hundred".