104747765640760 has 192 divisors, whose sum is σ = 267441653606400. Its totient is φ = 36857376864000.

The previous prime is 104747765640757. The next prime is 104747765640761. The reversal of 104747765640760 is 67046567747401.

It is a junction number, because it is equal to n+sod(n) for n = 104747765640692 and 104747765640701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104747765640761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1607045851 + ... + 1607111029.

It is an arithmetic number, because the mean of its divisors is an integer number (1392925279200).

Almost surely, 2^{104747765640760} is an apocalyptic number.

104747765640760 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 104747765640760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133720826803200).

104747765640760 is an abundant number, since it is smaller than the sum of its proper divisors (162693887965640).

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

104747765640760 is a wasteful number, since it uses less digits than its factorization.

104747765640760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75954 (or 75939 counting only the distinct ones).

The product of its (nonzero) digits is 165957120, while the sum is 64.

The spelling of 104747765640760 in words is "one hundred four trillion, seven hundred forty-seven billion, seven hundred sixty-five million, six hundred forty thousand, seven hundred sixty".