106311581 has 2 divisors, whose sum is σ = 106311582. Its totient is φ = 106311580.

The previous prime is 106311563. The next prime is 106311599. The reversal of 106311581 is 185113601.

It is a balanced prime because it is at equal distance from previous prime (106311563) and next prime (106311599).

It can be written as a sum of positive squares in only one way, i.e., 106275481 + 36100 = 10309^2 + 190^2 .

It is a cyclic number.

It is not a de Polignac number, because 106311581 - 2²² = 102117277 is a prime.

It is a super-2 number, since 2×106311581² = 22604304509439122, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 106311581.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106311521) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53155790 + 53155791.

It is an arithmetic number, because the mean of its divisors is an integer number (53155791).

Almost surely, 2^106311581 is an apocalyptic number.

It is an amenable number.

106311581 is a deficient number, since it is larger than the sum of its proper divisors (1).

106311581 is an equidigital number, since it uses as much as digits as its factorization.

106311581 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 720, while the sum is 26.

The square root of 106311581 is about 10310.7507486119. The cubic root of 106311581 is about 473.7256048034.

The spelling of 106311581 in words is "one hundred six million, three hundred eleven thousand, five hundred eighty-one".