105431077 has 2 divisors, whose sum is σ = 105431078. Its totient is φ = 105431076.

The previous prime is 105431063. The next prime is 105431087. The reversal of 105431077 is 770134501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 64866916 + 40564161 = 8054^2 + 6369^2 .

It is a cyclic number.

It is not a de Polignac number, because 105431077 - 2²³ = 97042469 is a prime.

It is a super-2 number, since 2×105431077² = 22231423994759858, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105431017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52715538 + 52715539.

It is an arithmetic number, because the mean of its divisors is an integer number (52715539).

Almost surely, 2^105431077 is an apocalyptic number.

It is an amenable number.

105431077 is a deficient number, since it is larger than the sum of its proper divisors (1).

105431077 is an equidigital number, since it uses as much as digits as its factorization.

105431077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2940, while the sum is 28.

The square root of 105431077 is about 10267.9636247895. The cubic root of 105431077 is about 472.4141321897.

Adding to 105431077 its reverse (770134501), we get a palindrome (875565578).

It can be divided in two parts, 1054 and 31077, that added together give a triangular number (32131 = T₂₅₃).

The spelling of 105431077 in words is "one hundred five million, four hundred thirty-one thousand, seventy-seven".