106611013 has 2 divisors, whose sum is σ = 106611014. Its totient is φ = 106611012.

The previous prime is 106610971. The next prime is 106611017. The reversal of 106611013 is 310116601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82029249 + 24581764 = 9057^2 + 4958^2 .

It is a cyclic number.

It is not a de Polignac number, because 106611013 - 2²¹ = 104513861 is a prime.

It is a super-2 number, since 2×106611013² = 22731816185772338, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106611017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53305506 + 53305507.

It is an arithmetic number, because the mean of its divisors is an integer number (53305507).

Almost surely, 2^106611013 is an apocalyptic number.

It is an amenable number.

106611013 is a deficient number, since it is larger than the sum of its proper divisors (1).

106611013 is an equidigital number, since it uses as much as digits as its factorization.

106611013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 19.

The square root of 106611013 is about 10325.2609168001. The cubic root of 106611013 is about 474.1699453520.

Adding to 106611013 its reverse (310116601), we get a palindrome (416727614).

The spelling of 106611013 in words is "one hundred six million, six hundred eleven thousand, thirteen".