105212131 has 8 divisors (see below), whose sum is σ = 107737344. Its totient is φ = 102716040.

The previous prime is 105212123. The next prime is 105212147. The reversal of 105212131 is 131212501.

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 105212131 - 2³ = 105212123 is a prime.

It is a super-2 number, since 2×105212131² = 22139185019122322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105212111) 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 7 ways as a sum of consecutive naturals, for example, 120 + ... + 14506.

It is an arithmetic number, because the mean of its divisors is an integer number (13467168).

Almost surely, 2^105212131 is an apocalyptic number.

105212131 is a deficient number, since it is larger than the sum of its proper divisors (2525213).

105212131 is a wasteful number, since it uses less digits than its factorization.

105212131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14561.

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 105212131 is about 10257.2964761676. The cubic root of 105212131 is about 472.0868888086.

Adding to 105212131 its reverse (131212501), we get a palindrome (236424632).

The spelling of 105212131 in words is "one hundred five million, two hundred twelve thousand, one hundred thirty-one".