105121131 has 8 divisors (see below), whose sum is σ = 141606864. Its totient is φ = 69358080.

The previous prime is 105121127. The next prime is 105121147. The reversal of 105121131 is 131121501.

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

It is not a de Polignac number, because 105121131 - 2² = 105121127 is a prime.

It is a super-2 number, since 2×105121131² = 22100904365438322, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105121131.

It is not an unprimeable number, because it can be changed into a prime (105121231) 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, 180330 + ... + 180911.

It is an arithmetic number, because the mean of its divisors is an integer number (17700858).

Almost surely, 2^105121131 is an apocalyptic number.

105121131 is a deficient number, since it is larger than the sum of its proper divisors (36485733).

105121131 is an equidigital number, since it uses as much as digits as its factorization.

105121131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361341.

The product of its (nonzero) digits is 30, while the sum is 15.

The square root of 105121131 is about 10252.8596498733. The cubic root of 105121131 is about 471.9507438665.

Adding to 105121131 its reverse (131121501), we get a palindrome (236242632).

The spelling of 105121131 in words is "one hundred five million, one hundred twenty-one thousand, one hundred thirty-one".