104103100469760 has 1280 divisors, whose sum is σ = 406533980160000. Its totient is φ = 22196945092608.

The previous prime is 104103100469759. The next prime is 104103100469947. The reversal of 104103100469760 is 67964001301401.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 33810683901 + ... + 33810686979.

It is an arithmetic number, because the mean of its divisors is an integer number (317604672000).

Almost surely, 2^{104103100469760} is an apocalyptic number.

104103100469760 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 104103100469760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203266990080000).

104103100469760 is an abundant number, since it is smaller than the sum of its proper divisors (302430879690240).

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

104103100469760 is a wasteful number, since it uses less digits than its factorization.

104103100469760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3629 (or 3613 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 104103100469760 in words is "one hundred four trillion, one hundred three billion, one hundred million, four hundred sixty-nine thousand, seven hundred sixty".