105601604993 has 2 divisors, whose sum is σ = 105601604994. Its totient is φ = 105601604992.

The previous prime is 105601604963. The next prime is 105601605029. The reversal of 105601604993 is 399406106501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80592396544 + 25009208449 = 283888^2 + 158143^2 .

It is a cyclic number.

It is not a de Polignac number, because 105601604993 - 2²⁰ = 105600556417 is a prime.

It is a super-2 number, since 2×105601604993² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105601604903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52800802496 + 52800802497.

It is an arithmetic number, because the mean of its divisors is an integer number (52800802497).

Almost surely, 2^105601604993 is an apocalyptic number.

It is an amenable number.

105601604993 is a deficient number, since it is larger than the sum of its proper divisors (1).

105601604993 is an equidigital number, since it uses as much as digits as its factorization.

105601604993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 174960, while the sum is 44.

The spelling of 105601604993 in words is "one hundred five billion, six hundred one million, six hundred four thousand, nine hundred ninety-three".