104257765248 has 256 divisors, whose sum is σ = 342104931840. Its totient is φ = 27394744320.

The previous prime is 104257765229. The next prime is 104257765267. The reversal of 104257765248 is 842567752401.

It is an interprime number because it is at equal distance from previous prime (104257765229) and next prime (104257765267).

It is a super-2 number, since 2×104257765248² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 104257765248.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9674103 + ... + 9684873.

It is an arithmetic number, because the mean of its divisors is an integer number (1336347390).

Almost surely, 2^104257765248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104257765248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171052465920).

104257765248 is an abundant number, since it is smaller than the sum of its proper divisors (237847166592).

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

104257765248 is a wasteful number, since it uses less digits than its factorization.

104257765248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11085 (or 11073 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 51.

The spelling of 104257765248 in words is "one hundred four billion, two hundred fifty-seven million, seven hundred sixty-five thousand, two hundred forty-eight".