104042175115320 has 1344 divisors, whose sum is σ = 409030534209600. Its totient is φ = 23707578286080.

The previous prime is 104042175115273. The next prime is 104042175115321. The reversal of 104042175115320 is 23511571240401.

104042175115320 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 4 + 217 + 5 + 115 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104042175115321) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 5110367301 + ... + 5110387659.

Almost surely, 2^{104042175115320} is an apocalyptic number.

104042175115320 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 104042175115320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204515267104800).

104042175115320 is an abundant number, since it is smaller than the sum of its proper divisors (304988359094280).

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

104042175115320 is a wasteful number, since it uses less digits than its factorization.

104042175115320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20492 (or 20460 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 104042175115320 in words is "one hundred four trillion, forty-two billion, one hundred seventy-five million, one hundred fifteen thousand, three hundred twenty".