105606106061 has 2 divisors, whose sum is σ = 105606106062. Its totient is φ = 105606106060.

The previous prime is 105606106043. The next prime is 105606106091. The reversal of 105606106061 is 160601606501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 86197436836 + 19408669225 = 293594^2 + 139315^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105606106061 is a prime.

It is a super-3 number, since 3×105606106061³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105606106091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52803053030 + 52803053031.

It is an arithmetic number, because the mean of its divisors is an integer number (52803053031).

Almost surely, 2^105606106061 is an apocalyptic number.

It is an amenable number.

105606106061 is a deficient number, since it is larger than the sum of its proper divisors (1).

105606106061 is an equidigital number, since it uses as much as digits as its factorization.

105606106061 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6480, while the sum is 32.

The spelling of 105606106061 in words is "one hundred five billion, six hundred six million, one hundred six thousand, sixty-one".