105112961860733 has 2 divisors, whose sum is σ = 105112961860734. Its totient is φ = 105112961860732.

The previous prime is 105112961860717. The next prime is 105112961860793. The reversal of 105112961860733 is 337068169211501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98351391369529 + 6761570491204 = 9917227^2 + 2600302^2 .

It is a cyclic number.

It is not a de Polignac number, because 105112961860733 - 2⁴ = 105112961860717 is a prime.

It is a super-2 number, since 2×105112961860733² (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 (105112961860703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52556480930366 + 52556480930367.

It is an arithmetic number, because the mean of its divisors is an integer number (52556480930367).

Almost surely, 2^{105112961860733} is an apocalyptic number.

It is an amenable number.

105112961860733 is a deficient number, since it is larger than the sum of its proper divisors (1).

105112961860733 is an equidigital number, since it uses as much as digits as its factorization.

105112961860733 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1632960, while the sum is 53.

The spelling of 105112961860733 in words is "one hundred five trillion, one hundred twelve billion, nine hundred sixty-one million, eight hundred sixty thousand, seven hundred thirty-three".