105125031 has 12 divisors (see below), whose sum is σ = 165651720. Its totient is φ = 63712080.

The previous prime is 105125017. The next prime is 105125047. The reversal of 105125031 is 130521501.

It is not a de Polignac number, because 105125031 - 2¹³ = 105116839 is a prime.

It is a super-2 number, since 2×105125031² = 22102544285501922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105124995 and 105125013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105125071) 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 11 ways as a sum of consecutive naturals, for example, 530836 + ... + 531033.

It is an arithmetic number, because the mean of its divisors is an integer number (13804310).

Almost surely, 2^105125031 is an apocalyptic number.

105125031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105125031 is a deficient number, since it is larger than the sum of its proper divisors (60526689).

105125031 is a wasteful number, since it uses less digits than its factorization.

105125031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061886 (or 1061883 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 105125031 is about 10253.0498389504. The cubic root of 105125031 is about 471.9565802609.

Adding to 105125031 its reverse (130521501), we get a palindrome (235646532).

The spelling of 105125031 in words is "one hundred five million, one hundred twenty-five thousand, thirty-one".