104400526257 has 12 divisors (see below), whose sum is σ = 153272904564. Its totient is φ = 68459361120.

The previous prime is 104400526253. The next prime is 104400526261. The reversal of 104400526257 is 752625004401.

It is a happy number.

104400526257 is a `hidden beast` number, since 104 + 4 + 0 + 0 + 526 + 25 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (104400526253) and next prime (104400526261).

It can be written as a sum of positive squares in 2 ways, for example, as 51367502736 + 53033023521 = 226644^2 + 230289^2 .

It is not a de Polignac number, because 104400526257 - 2² = 104400526253 is a prime.

It is not an unprimeable number, because it can be changed into a prime (104400526253) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95081898 + ... + 95082995.

It is an arithmetic number, because the mean of its divisors is an integer number (12772742047).

Almost surely, 2^104400526257 is an apocalyptic number.

It is an amenable number.

104400526257 is a deficient number, since it is larger than the sum of its proper divisors (48872378307).

104400526257 is a wasteful number, since it uses less digits than its factorization.

104400526257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190164960 (or 190164957 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 104400526257 in words is "one hundred four billion, four hundred million, five hundred twenty-six thousand, two hundred fifty-seven".