104265641025 has 324 divisors, whose sum is σ = 242061874236. Its totient is φ = 42522278400.

The previous prime is 104265641021. The next prime is 104265641071. The reversal of 104265641025 is 520146562401.

104265641025 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 6 + 5 + 641 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 7838623296 + 96427017729 = 88536^2 + 310527^2 .

It is not a de Polignac number, because 104265641025 - 2² = 104265641021 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104265641021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 137734947 + ... + 137735703.

Almost surely, 2^104265641025 is an apocalyptic number.

104265641025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

104265641025 is an abundant number, since it is smaller than the sum of its proper divisors (137796233211).

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

104265641025 is a wasteful number, since it uses less digits than its factorization.

104265641025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

It can be divided in two parts, 1042656 and 41025, that added together give a square (1083681 = 1041²).

The spelling of 104265641025 in words is "one hundred four billion, two hundred sixty-five million, six hundred forty-one thousand, twenty-five".