106163127 has 48 divisors (see below), whose sum is σ = 190494720. Its totient is φ = 55598400.

The previous prime is 106163111. The next prime is 106163129. The reversal of 106163127 is 721361601.

106163127 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 631 + 27 = 666.

It is not a de Polignac number, because 106163127 - 2⁴ = 106163111 is a prime.

It is a super-2 number, since 2×106163127² = 22541219068836258, 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 106163127.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106163129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35677 + ... + 38537.

It is an arithmetic number, because the mean of its divisors is an integer number (3968640).

Almost surely, 2^106163127 is an apocalyptic number.

106163127 is a deficient number, since it is larger than the sum of its proper divisors (84331593).

106163127 is a wasteful number, since it uses less digits than its factorization.

106163127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2924 (or 2921 counting only the distinct ones).

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

The square root of 106163127 is about 10303.5492428580. The cubic root of 106163127 is about 473.5049978528.

The spelling of 106163127 in words is "one hundred six million, one hundred sixty-three thousand, one hundred twenty-seven".