104096372938740 has 1296 divisors, whose sum is σ = 443303217040320. Its totient is φ = 19583187886080.

The previous prime is 104096372938717. The next prime is 104096372938741. The reversal of 104096372938740 is 47839273690401.

104096372938740 is a `hidden beast` number, since 1 + 0 + 409 + 6 + 3 + 72 + 93 + 8 + 74 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104096372938741) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 481349235 + ... + 481565445.

It is an arithmetic number, because the mean of its divisors is an integer number (342054951420).

Almost surely, 2^{104096372938740} is an apocalyptic number.

104096372938740 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 104096372938740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221651608520160).

104096372938740 is an abundant number, since it is smaller than the sum of its proper divisors (339206844101580).

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

104096372938740 is a wasteful number, since it uses less digits than its factorization.

104096372938740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216302 (or 216277 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 104096372938740 in words is "one hundred four trillion, ninety-six billion, three hundred seventy-two million, nine hundred thirty-eight thousand, seven hundred forty".