105116121 has 12 divisors (see below), whose sum is σ = 165637680. Its totient is φ = 63706680.

The previous prime is 105116107. The next prime is 105116147. The reversal of 105116121 is 121611501.

It is a happy number.

105116121 is a `hidden beast` number, since 1 + 0 + 51 + 1 + 612 + 1 = 666.

It is not a de Polignac number, because 105116121 - 2²³ = 96727513 is a prime.

It is a super-2 number, since 2×105116121² = 22098797788173282, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105116094 and 105116103.

It is not an unprimeable number, because it can be changed into a prime (105116101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 530791 + ... + 530988.

It is an arithmetic number, because the mean of its divisors is an integer number (13803140).

Almost surely, 2^105116121 is an apocalyptic number.

105116121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105116121 is a deficient number, since it is larger than the sum of its proper divisors (60521559).

105116121 is a wasteful number, since it uses less digits than its factorization.

105116121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061796 (or 1061793 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 18.

The square root of 105116121 is about 10252.6153248817. The cubic root of 105116121 is about 471.9432461326.

Adding to 105116121 its reverse (121611501), we get a palindrome (226727622).

The spelling of 105116121 in words is "one hundred five million, one hundred sixteen thousand, one hundred twenty-one".