105011560505461 has 2 divisors, whose sum is σ = 105011560505462. Its totient is φ = 105011560505460.

The previous prime is 105011560505429. The next prime is 105011560505503. The reversal of 105011560505461 is 164505065110501.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 53605972992100 + 51405587513361 = 7321610^2 + 7169769^2 .

It is a cyclic number.

It is not a de Polignac number, because 105011560505461 - 2⁵ = 105011560505429 is a prime.

It is a super-2 number, since 2×105011560505461² (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 (105011560515461) 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, 52505780252730 + 52505780252731.

It is an arithmetic number, because the mean of its divisors is an integer number (52505780252731).

Almost surely, 2^{105011560505461} is an apocalyptic number.

It is an amenable number.

105011560505461 is a deficient number, since it is larger than the sum of its proper divisors (1).

105011560505461 is an equidigital number, since it uses as much as digits as its factorization.

105011560505461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 90000, while the sum is 40.

It can be divided in two parts, 1050 and 11560505461, that added together give a palindrome (11560506511).

The spelling of 105011560505461 in words is "one hundred five trillion, eleven billion, five hundred sixty million, five hundred five thousand, four hundred sixty-one".