106561061 has 2 divisors, whose sum is σ = 106561062. Its totient is φ = 106561060.

The previous prime is 106561031. The next prime is 106561097. The reversal of 106561061 is 160165601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91202500 + 15358561 = 9550^2 + 3919^2 .

It is an emirp because it is prime and its reverse (160165601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106561061 - 2⁶ = 106560997 is a prime.

It is a super-2 number, since 2×106561061² = 22710519442891442, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106561061.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106561031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53280530 + 53280531.

It is an arithmetic number, because the mean of its divisors is an integer number (53280531).

Almost surely, 2^106561061 is an apocalyptic number.

It is an amenable number.

106561061 is a deficient number, since it is larger than the sum of its proper divisors (1).

106561061 is an equidigital number, since it uses as much as digits as its factorization.

106561061 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 106561061 is about 10322.8417114669. The cubic root of 106561061 is about 474.0958772150.

It can be divided in two parts, 1065 and 61061, that added together give a palindrome (62126).

The spelling of 106561061 in words is "one hundred six million, five hundred sixty-one thousand, sixty-one".