104099143680 has 1344 divisors, whose sum is σ = 459893090880. Its totient is φ = 22196256768.

The previous prime is 104099143669. The next prime is 104099143693. The reversal of 104099143680 is 86341990401.

104099143680 is a `hidden beast` number, since 10 + 40 + 9 + 91 + 436 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-3 number, since 3×104099143680³ (a number of 34 digits) contains 333 as substring.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 921231304 + ... + 921231416.

Almost surely, 2^104099143680 is an apocalyptic number.

104099143680 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 104099143680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229946545440).

104099143680 is an abundant number, since it is smaller than the sum of its proper divisors (355793947200).

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

104099143680 is a wasteful number, since it uses less digits than its factorization.

104099143680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 104099143680 in words is "one hundred four billion, ninety-nine million, one hundred forty-three thousand, six hundred eighty".