101107161 has 12 divisors (see below), whose sum is σ = 147490980. Its totient is φ = 66736800.

The previous prime is 101107157. The next prime is 101107183. The reversal of 101107161 is 161701101.

It can be written as a sum of positive squares in 2 ways, for example, as 79762761 + 21344400 = 8931^2 + 4620^2 .

It is not a de Polignac number, because 101107161 - 2² = 101107157 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101107261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54706 + ... + 56523.

It is an arithmetic number, because the mean of its divisors is an integer number (12290915).

Almost surely, 2^101107161 is an apocalyptic number.

It is an amenable number.

101107161 is a deficient number, since it is larger than the sum of its proper divisors (46383819).

101107161 is a wasteful number, since it uses less digits than its factorization.

101107161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111336 (or 111333 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 18.

The square root of 101107161 is about 10055.2056667181. The cubic root of 101107161 is about 465.8655954677.

Adding to 101107161 its reverse (161701101), we get a palindrome (262808262).

It can be divided in two parts, 10110 and 7161, that added together give a palindrome (17271).

The spelling of 101107161 in words is "one hundred one million, one hundred seven thousand, one hundred sixty-one".