105101161 has 8 divisors (see below), whose sum is σ = 114984864. Its totient is φ = 95272320.

The previous prime is 105101147. The next prime is 105101167. The reversal of 105101161 is 161101501.

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

It is not a de Polignac number, because 105101161 - 2⁹ = 105100649 is a prime.

It is a super-2 number, since 2×105101161² = 22092508087095842, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105101167) 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, 9651 + ... + 17416.

It is an arithmetic number, because the mean of its divisors is an integer number (14373108).

Almost surely, 2^105101161 is an apocalyptic number.

105101161 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105101161 is a deficient number, since it is larger than the sum of its proper divisors (9883703).

105101161 is a wasteful number, since it uses less digits than its factorization.

105101161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27431.

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

The square root of 105101161 is about 10251.8857289769. The cubic root of 105101161 is about 471.9208562719.

Adding to 105101161 its reverse (161101501), we get a palindrome (266202662).

The spelling of 105101161 in words is "one hundred five million, one hundred one thousand, one hundred sixty-one".