105251561 has 2 divisors, whose sum is σ = 105251562. Its totient is φ = 105251560.

The previous prime is 105251533. The next prime is 105251581. The reversal of 105251561 is 165152501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67551961 + 37699600 = 8219^2 + 6140^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105251561 is a prime.

It is a super-2 number, since 2×105251561² = 22155782185873442, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 105251561.

It is not a weakly prime, because it can be changed into another prime (105251581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52625780 + 52625781.

It is an arithmetic number, because the mean of its divisors is an integer number (52625781).

Almost surely, 2^105251561 is an apocalyptic number.

It is an amenable number.

105251561 is a deficient number, since it is larger than the sum of its proper divisors (1).

105251561 is an equidigital number, since it uses as much as digits as its factorization.

105251561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1500, while the sum is 26.

The square root of 105251561 is about 10259.2183425444. The cubic root of 105251561 is about 472.1458555868.

The spelling of 105251561 in words is "one hundred five million, two hundred fifty-one thousand, five hundred sixty-one".