104747765760 has 832 divisors, whose sum is σ = 430566140160. Its totient is φ = 23876075520.

The previous prime is 104747765747. The next prime is 104747765761. The reversal of 104747765760 is 67567747401.

It is a happy number.

104747765760 is a `hidden beast` number, since 1 + 0 + 47 + 477 + 65 + 76 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 104747765697 and 104747765706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104747765761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 103403014 + ... + 103404026.

It is an arithmetic number, because the mean of its divisors is an integer number (517507380).

Almost surely, 2^104747765760 is an apocalyptic number.

104747765760 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 104747765760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215283070080).

104747765760 is an abundant number, since it is smaller than the sum of its proper divisors (325818374400).

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

104747765760 is a wasteful number, since it uses less digits than its factorization.

104747765760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 6914880, while the sum is 54.

The spelling of 104747765760 in words is "one hundred four billion, seven hundred forty-seven million, seven hundred sixty-five thousand, seven hundred sixty".