105161101 has 8 divisors (see below), whose sum is σ = 107775360. Its totient is φ = 102554592.

The previous prime is 105161057. The next prime is 105161107. The reversal of 105161101 is 101161501.

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 105161101 - 2⁷ = 105160973 is a prime.

It is a super-2 number, since 2×105161101² = 22117714327064402, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105161107) 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 7 ways as a sum of consecutive naturals, for example, 33276 + ... + 36298.

It is an arithmetic number, because the mean of its divisors is an integer number (13471920).

Almost surely, 2^105161101 is an apocalyptic number.

It is an amenable number.

105161101 is a deficient number, since it is larger than the sum of its proper divisors (2614259).

105161101 is an equidigital number, since it uses as much as digits as its factorization.

105161101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3875.

The product of its (nonzero) digits is 30, while the sum is 16.

The square root of 105161101 is about 10254.8086769086. The cubic root of 105161101 is about 472.0105525865.

The spelling of 105161101 in words is "one hundred five million, one hundred sixty-one thousand, one hundred one".