105997880031493 has 2 divisors, whose sum is σ = 105997880031494. Its totient is φ = 105997880031492.

The previous prime is 105997880031427. The next prime is 105997880031529. The reversal of 105997880031493 is 394130088799501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 55093179660484 + 50904700371009 = 7422478^2 + 7134753^2 .

It is a cyclic number.

It is not a de Polignac number, because 105997880031493 - 2²⁹ = 105997343160581 is a prime.

It is a super-2 number, since 2×105997880031493² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105997880031193) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52998940015746 + 52998940015747.

It is an arithmetic number, because the mean of its divisors is an integer number (52998940015747).

Almost surely, 2^{105997880031493} is an apocalyptic number.

It is an amenable number.

105997880031493 is a deficient number, since it is larger than the sum of its proper divisors (1).

105997880031493 is an equidigital number, since it uses as much as digits as its factorization.

105997880031493 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 58786560, while the sum is 67.

The spelling of 105997880031493 in words is "one hundred five trillion, nine hundred ninety-seven billion, eight hundred eighty million, thirty-one thousand, four hundred ninety-three".