106172161 has 8 divisors (see below), whose sum is σ = 110238120. Its totient is φ = 102133248.

The previous prime is 106172159. The next prime is 106172167. The reversal of 106172161 is 161271601.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3352561 + 102819600 = 1831^2 + 10140^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106172161 - 2¹ = 106172159 is a prime.

It is a super-2 number, since 2×106172161² = 22545055542819842, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106172167) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1425 + ... + 14641.

It is an arithmetic number, because the mean of its divisors is an integer number (13779765).

Almost surely, 2^106172161 is an apocalyptic number.

It is an amenable number.

106172161 is a deficient number, since it is larger than the sum of its proper divisors (4065959).

106172161 is a wasteful number, since it uses less digits than its factorization.

106172161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13523.

The product of its (nonzero) digits is 504, while the sum is 25.

The square root of 106172161 is about 10303.9876261572. The cubic root of 106172161 is about 473.5184285135.

The spelling of 106172161 in words is "one hundred six million, one hundred seventy-two thousand, one hundred sixty-one".