104037098090400 has 1440 divisors, whose sum is σ = 407205487180800. Its totient is φ = 25769875507200.

The previous prime is 104037098090399. The next prime is 104037098090417. The reversal of 104037098090400 is 4090890730401.

104037098090400 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 3 + 70 + 98 + 0 + 90 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×104037098090400² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 31308183139 + ... + 31308186461.

It is an arithmetic number, because the mean of its divisors is an integer number (282781588320).

Almost surely, 2^{104037098090400} is an apocalyptic number.

104037098090400 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 104037098090400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203602743590400).

104037098090400 is an abundant number, since it is smaller than the sum of its proper divisors (303168389090400).

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

104037098090400 is a wasteful number, since it uses less digits than its factorization.

104037098090400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3864 (or 3842 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 104037098090400 in words is "one hundred four trillion, thirty-seven billion, ninety-eight million, ninety thousand, four hundred".