105061005604993 has 2 divisors, whose sum is σ = 105061005604994. Its totient is φ = 105061005604992.

The previous prime is 105061005604963. The next prime is 105061005605027. The reversal of 105061005604993 is 399406500160501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97736713171344 + 7324292433649 = 9886188^2 + 2706343^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105061005604993 is a prime.

It is a super-2 number, since 2×105061005604993² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105061005604903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52530502802496 + 52530502802497.

It is an arithmetic number, because the mean of its divisors is an integer number (52530502802497).

Almost surely, 2^{105061005604993} is an apocalyptic number.

It is an amenable number.

105061005604993 is a deficient number, since it is larger than the sum of its proper divisors (1).

105061005604993 is an equidigital number, since it uses as much as digits as its factorization.

105061005604993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 874800, while the sum is 49.

The spelling of 105061005604993 in words is "one hundred five trillion, sixty-one billion, five million, six hundred four thousand, nine hundred ninety-three".