104099083683840 has 1536 divisors, whose sum is σ = 438108275404800. Its totient is φ = 23239220723712.

The previous prime is 104099083683839. The next prime is 104099083683857. The reversal of 104099083683840 is 48386380990401.

104099083683840 is a `hidden beast` number, since 1 + 0 + 409 + 90 + 8 + 3 + 68 + 3 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6740851159 + ... + 6740866601.

It is an arithmetic number, because the mean of its divisors is an integer number (285226741800).

Almost surely, 2^{104099083683840} is an apocalyptic number.

104099083683840 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 104099083683840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219054137702400).

104099083683840 is an abundant number, since it is smaller than the sum of its proper divisors (334009191720960).

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

104099083683840 is an frugal number, since it uses more digits than its factorization.

104099083683840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15541 (or 15503 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 104099083683840 in words is "one hundred four trillion, ninety-nine billion, eighty-three million, six hundred eighty-three thousand, eight hundred forty".