105121431 has 24 divisors (see below), whose sum is σ = 158910336. Its totient is φ = 66836880.

The previous prime is 105121427. The next prime is 105121447. The reversal of 105121431 is 134121501.

105121431 is a `hidden beast` number, since 10 + 512 + 143 + 1 = 666.

It is not a de Polignac number, because 105121431 - 2² = 105121427 is a prime.

It is a super-2 number, since 2×105121431² = 22101030510975522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105121411) 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 23 ways as a sum of consecutive naturals, for example, 107776 + ... + 108746.

It is an arithmetic number, because the mean of its divisors is an integer number (6621264).

Almost surely, 2^105121431 is an apocalyptic number.

105121431 is a deficient number, since it is larger than the sum of its proper divisors (53788905).

105121431 is a wasteful number, since it uses less digits than its factorization.

105121431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1523 (or 1520 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 105121431 is about 10252.8742799276. The cubic root of 105121431 is about 471.9511928250.

Adding to 105121431 its reverse (134121501), we get a palindrome (239242932).

The spelling of 105121431 in words is "one hundred five million, one hundred twenty-one thousand, four hundred thirty-one".