104034677760 has 264 divisors, whose sum is σ = 388208719080. Its totient is φ = 25608388608.

The previous prime is 104034677731. The next prime is 104034677777. The reversal of 104034677760 is 67776430401.

It can be written as a sum of positive squares in 4 ways, for example, as 17908862976 + 86125814784 = 133824^2 + 293472^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 512206 + ... + 685874.

Almost surely, 2^104034677760 is an apocalyptic number.

104034677760 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 104034677760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194104359540).

104034677760 is an abundant number, since it is smaller than the sum of its proper divisors (284174041320).

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

104034677760 is a wasteful number, since it uses less digits than its factorization.

104034677760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173713 (or 173692 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The spelling of 104034677760 in words is "one hundred four billion, thirty-four million, six hundred seventy-seven thousand, seven hundred sixty".