105400861 has 2 divisors, whose sum is σ = 105400862. Its totient is φ = 105400860.

The previous prime is 105400817. The next prime is 105400871. The reversal of 105400861 is 168004501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 52838361 + 52562500 = 7269^2 + 7250^2 .

It is a cyclic number.

It is not a de Polignac number, because 105400861 - 2⁹ = 105400349 is a prime.

It is a super-2 number, since 2×105400861² = 22218682999082642, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105400811) 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 as a sum of consecutive naturals, namely, 52700430 + 52700431.

It is an arithmetic number, because the mean of its divisors is an integer number (52700431).

Almost surely, 2^105400861 is an apocalyptic number.

It is an amenable number.

105400861 is a deficient number, since it is larger than the sum of its proper divisors (1).

105400861 is an equidigital number, since it uses as much as digits as its factorization.

105400861 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 105400861 is about 10266.4921467851. The cubic root of 105400861 is about 472.3689973973.

The spelling of 105400861 in words is "one hundred five million, four hundred thousand, eight hundred sixty-one".