105610967261 has 2 divisors, whose sum is σ = 105610967262. Its totient is φ = 105610967260.

The previous prime is 105610967237. The next prime is 105610967269. The reversal of 105610967261 is 162769016501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99662701636 + 5948265625 = 315694^2 + 77125^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105610967261 is a prime.

It is a super-2 number, since 2×105610967261² (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105610967269) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52805483630 + 52805483631.

It is an arithmetic number, because the mean of its divisors is an integer number (52805483631).

Almost surely, 2^105610967261 is an apocalyptic number.

It is an amenable number.

105610967261 is a deficient number, since it is larger than the sum of its proper divisors (1).

105610967261 is an equidigital number, since it uses as much as digits as its factorization.

105610967261 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 136080, while the sum is 44.

The spelling of 105610967261 in words is "one hundred five billion, six hundred ten million, nine hundred sixty-seven thousand, two hundred sixty-one".