106601013 has 12 divisors (see below), whose sum is σ = 159289260. Its totient is φ = 68616576.

The previous prime is 106601009. The next prime is 106601051. The reversal of 106601013 is 310106601.

106601013 is a `hidden beast` number, since 1 + 0 + 660 + 1 + 0 + 1 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 80407089 + 26193924 = 8967^2 + 5118^2 .

It is not a de Polignac number, because 106601013 - 2² = 106601009 is a prime.

It is a super-2 number, since 2×106601013² = 22727551945252338, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106601083) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 203956 + ... + 204477.

It is an arithmetic number, because the mean of its divisors is an integer number (13274105).

Almost surely, 2^106601013 is an apocalyptic number.

It is an amenable number.

106601013 is a deficient number, since it is larger than the sum of its proper divisors (52688247).

106601013 is a wasteful number, since it uses less digits than its factorization.

106601013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408468 (or 408465 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 106601013 is about 10324.7766561800. The cubic root of 106601013 is about 474.1551193424.

Adding to 106601013 its reverse (310106601), we get a palindrome (416707614).

The spelling of 106601013 in words is "one hundred six million, six hundred one thousand, thirteen".