106727163 has 16 divisors (see below), whose sum is σ = 147640320. Its totient is φ = 68497184.

The previous prime is 106727149. The next prime is 106727189. The reversal of 106727163 is 361727601.

It is a cyclic number.

It is not a de Polignac number, because 106727163 - 2⁴ = 106727147 is a prime.

It is a super-2 number, since 2×106727163² = 22781374644057138, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106727363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31720 + ... + 34922.

It is an arithmetic number, because the mean of its divisors is an integer number (9227520).

Almost surely, 2^106727163 is an apocalyptic number.

106727163 is a deficient number, since it is larger than the sum of its proper divisors (40913157).

106727163 is a wasteful number, since it uses less digits than its factorization.

106727163 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3618.

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 106727163 is about 10330.8839408833. The cubic root of 106727163 is about 474.3420815720.

The spelling of 106727163 in words is "one hundred six million, seven hundred twenty-seven thousand, one hundred sixty-three".