104101937280 has 384 divisors, whose sum is σ = 394824456000. Its totient is φ = 25065185280.

The previous prime is 104101937263. The next prime is 104101937323. The reversal of 104101937280 is 82739101401.

It is a happy number.

104101937280 is a `hidden beast` number, since 10 + 410 + 1 + 93 + 72 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9435127 + ... + 9446153.

Almost surely, 2^104101937280 is an apocalyptic number.

104101937280 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 104101937280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197412228000).

104101937280 is an abundant number, since it is smaller than the sum of its proper divisors (290722518720).

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

104101937280 is a wasteful number, since it uses less digits than its factorization.

104101937280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11212 (or 11197 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 104101937280 in words is "one hundred four billion, one hundred one million, nine hundred thirty-seven thousand, two hundred eighty".