105133161 has 16 divisors (see below), whose sum is σ = 167169024. Its totient is φ = 57463824.

The previous prime is 105133153. The next prime is 105133163. The reversal of 105133161 is 161331501.

It is not a de Polignac number, because 105133161 - 2³ = 105133153 is a prime.

It is a super-2 number, since 2×105133161² = 22105963083703842, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105133163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108351 + ... + 109316.

It is an arithmetic number, because the mean of its divisors is an integer number (10448064).

Almost surely, 2^105133161 is an apocalyptic number.

It is an amenable number.

105133161 is a deficient number, since it is larger than the sum of its proper divisors (62035863).

105133161 is a wasteful number, since it uses less digits than its factorization.

105133161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217700.

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 105133161 is about 10253.4462986842. The cubic root of 105133161 is about 471.9687464344.

Adding to 105133161 its reverse (161331501), we get a palindrome (266464662).

The spelling of 105133161 in words is "one hundred five million, one hundred thirty-three thousand, one hundred sixty-one".