105035531 has 2 divisors, whose sum is σ = 105035532. Its totient is φ = 105035530.

The previous prime is 105035507. The next prime is 105035543. The reversal of 105035531 is 135530501.

It is a strong prime.

It is an emirp because it is prime and its reverse (135530501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105035531 - 2²⁶ = 37926667 is a prime.

It is a super-2 number, since 2×105035531² = 22064925544903922, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 105035497 and 105035506.

It is not a weakly prime, because it can be changed into another prime (105035501) 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 as a sum of consecutive naturals, namely, 52517765 + 52517766.

It is an arithmetic number, because the mean of its divisors is an integer number (52517766).

Almost surely, 2^105035531 is an apocalyptic number.

105035531 is a deficient number, since it is larger than the sum of its proper divisors (1).

105035531 is an equidigital number, since it uses as much as digits as its factorization.

105035531 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1125, while the sum is 23.

The square root of 105035531 is about 10248.6843545891. The cubic root of 105035531 is about 471.8226061208.

The spelling of 105035531 in words is "one hundred five million, thirty-five thousand, five hundred thirty-one".