104740347264 has 256 divisors, whose sum is σ = 337677120000. Its totient is φ = 28098330624.

The previous prime is 104740347263. The next prime is 104740347281. The reversal of 104740347264 is 462743047401.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104740347263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5762062 + ... + 5780210.

It is an arithmetic number, because the mean of its divisors is an integer number (1319051250).

Almost surely, 2^104740347264 is an apocalyptic number.

104740347264 is a gapful number since it is divisible by the number (14) 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 104740347264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168838560000).

104740347264 is an abundant number, since it is smaller than the sum of its proper divisors (232936772736).

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

104740347264 is a wasteful number, since it uses less digits than its factorization.

104740347264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18305 (or 18293 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 42.

The spelling of 104740347264 in words is "one hundred four billion, seven hundred forty million, three hundred forty-seven thousand, two hundred sixty-four".