106613127 has 12 divisors (see below), whose sum is σ = 155361024. Its totient is φ = 70445760.

The previous prime is 106613113. The next prime is 106613131. The reversal of 106613127 is 721316601.

It is not a de Polignac number, because 106613127 - 2⁸ = 106612871 is a prime.

It is a super-2 number, since 2×106613127² = 22732717697436258, 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 106613127.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106613167) 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, 51399 + ... + 53432.

It is an arithmetic number, because the mean of its divisors is an integer number (12946752).

Almost surely, 2^106613127 is an apocalyptic number.

106613127 is a deficient number, since it is larger than the sum of its proper divisors (48747897).

106613127 is a wasteful number, since it uses less digits than its factorization.

106613127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104950 (or 104947 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 106613127 is about 10325.3632865871. The cubic root of 106613127 is about 474.1730794517.

Adding to 106613127 its reverse (721316601), we get a palindrome (827929728).

The spelling of 106613127 in words is "one hundred six million, six hundred thirteen thousand, one hundred twenty-seven".