105758311260997 has 8 divisors (see below), whose sum is σ = 105863954396760. Its totient is φ = 105652672158720.

The previous prime is 105758311260913. The next prime is 105758311261061. The reversal of 105758311260997 is 799062113857501.

It is a Cunningham number, because it is equal to 10283886²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 1 + 105758311260996 = 1^2 + 10283886^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105758311260997 - 2¹¹ = 105758311258949 is a prime.

It is a super-2 number, since 2×105758311260997² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105758311260907) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52895673 + ... + 54858625.

It is an arithmetic number, because the mean of its divisors is an integer number (13232994299595).

Almost surely, 2^{105758311260997} is an apocalyptic number.

It is an amenable number.

105758311260997 is a deficient number, since it is larger than the sum of its proper divisors (105643135763).

105758311260997 is a wasteful number, since it uses less digits than its factorization.

105758311260997 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2016743.

The product of its (nonzero) digits is 28576800, while the sum is 64.

The spelling of 105758311260997 in words is "one hundred five trillion, seven hundred fifty-eight billion, three hundred eleven million, two hundred sixty thousand, nine hundred ninety-seven".