105406577 has 2 divisors, whose sum is σ = 105406578. Its totient is φ = 105406576.

The previous prime is 105406537. The next prime is 105406591. The reversal of 105406577 is 775604501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89851441 + 15555136 = 9479^2 + 3944^2 .

It is a cyclic number.

It is not a de Polignac number, because 105406577 - 2¹⁸ = 105144433 is a prime.

It is a super-2 number, since 2×105406577² = 22221092949713858, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105406517) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52703288 + 52703289.

It is an arithmetic number, because the mean of its divisors is an integer number (52703289).

Almost surely, 2^105406577 is an apocalyptic number.

It is an amenable number.

105406577 is a deficient number, since it is larger than the sum of its proper divisors (1).

105406577 is an equidigital number, since it uses as much as digits as its factorization.

105406577 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 29400, while the sum is 35.

The square root of 105406577 is about 10266.7705243665. The cubic root of 105406577 is about 472.3775362662.

The spelling of 105406577 in words is "one hundred five million, four hundred six thousand, five hundred seventy-seven".