104457593601 has 15 divisors (see below), whose sum is σ = 156045935793. Its totient is φ = 69636456540.

The previous prime is 104457593573. The next prime is 104457593621. The reversal of 104457593601 is 106395754401.

The square root of 104457593601 is 323199.

It is a perfect power (a square), and thus also a powerful number.

104457593601 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 57 + 593 + 6 + 0 + 1 = 666.

It is not a de Polignac number, because 104457593601 - 2¹³ = 104457585409 is a prime.

It is a super-2 number, since 2×104457593601² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (104457593621) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2890836 + ... + 2926746.

Almost surely, 2^104457593601 is an apocalyptic number.

104457593601 is the 323199-th square number.

104457593601 is the 161600-th centered octagonal number.

It is an amenable number.

104457593601 is a deficient number, since it is larger than the sum of its proper divisors (51588342192).

104457593601 is an frugal number, since it uses more digits than its factorization.

104457593601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71834 (or 35914 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 104457593601 in words is "one hundred four billion, four hundred fifty-seven million, five hundred ninety-three thousand, six hundred one".