104305957115400 has 576 divisors, whose sum is σ = 391303026878400. Its totient is φ = 24744875950080.

The previous prime is 104305957115389. The next prime is 104305957115461. The reversal of 104305957115400 is 4511759503401.

104305957115400 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 0 + 5 + 95 + 7 + 11 + 540 + 0 = 666.

It is a super-3 number, since 3×104305957115400³ (a number of 43 digits) contains 333 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 143 ways as a sum of consecutive naturals, for example, 257357712 + ... + 257762688.

It is an arithmetic number, because the mean of its divisors is an integer number (679345532775).

Almost surely, 2^{104305957115400} is an apocalyptic number.

104305957115400 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 104305957115400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195651513439200).

104305957115400 is an abundant number, since it is smaller than the sum of its proper divisors (286997069763000).

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

104305957115400 is a wasteful number, since it uses less digits than its factorization.

104305957115400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405478 (or 405466 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 104305957115400 in words is "one hundred four trillion, three hundred five billion, nine hundred fifty-seven million, one hundred fifteen thousand, four hundred".