106266504961 has 2 divisors, whose sum is σ = 106266504962. Its totient is φ = 106266504960.

The previous prime is 106266504919. The next prime is 106266504983. The reversal of 106266504961 is 169405662601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105141305025 + 1125199936 = 324255^2 + 33544^2 .

It is a cyclic number.

It is not a de Polignac number, because 106266504961 - 2⁷ = 106266504833 is a prime.

It is a super-2 number, since 2×106266504961² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106266504661) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53133252480 + 53133252481.

It is an arithmetic number, because the mean of its divisors is an integer number (53133252481).

Almost surely, 2^106266504961 is an apocalyptic number.

It is an amenable number.

106266504961 is a deficient number, since it is larger than the sum of its proper divisors (1).

106266504961 is an equidigital number, since it uses as much as digits as its factorization.

106266504961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 466560, while the sum is 46.

The spelling of 106266504961 in words is "one hundred six billion, two hundred sixty-six million, five hundred four thousand, nine hundred sixty-one".