104865269760 has 1152 divisors, whose sum is σ = 415979141760. Its totient is φ = 25225592832.

The previous prime is 104865269759. The next prime is 104865269771. The reversal of 104865269760 is 67962568401.

104865269760 is a `hidden beast` number, since 1 + 0 + 48 + 6 + 526 + 9 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 = 104865269697 and 104865269706.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1565153247 + ... + 1565153313.

It is an arithmetic number, because the mean of its divisors is an integer number (361093005).

Almost surely, 2^104865269760 is an apocalyptic number.

104865269760 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 104865269760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207989570880).

104865269760 is an abundant number, since it is smaller than the sum of its proper divisors (311113872000).

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

104865269760 is an equidigital number, since it uses as much as digits as its factorization.

104865269760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 104865269760 in words is "one hundred four billion, eight hundred sixty-five million, two hundred sixty-nine thousand, seven hundred sixty".