105698961 has 27 divisors (see below), whose sum is σ = 160681339. Its totient is φ = 66949872.

The previous prime is 105698947. The next prime is 105699001. The reversal of 105698961 is 169896501.

The square root of 105698961 is 10281.

It is a perfect power (a square), and thus also a powerful number.

105698961 is a `hidden beast` number, since 1 + 0 + 569 + 89 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12383361 + 93315600 = 3519^2 + 9660^2 .

It is not a de Polignac number, because 105698961 - 2¹³ = 105690769 is a prime.

It is a super-2 number, since 2×105698961² = 22344540712959042, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105698921) 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 in 26 ways as a sum of consecutive naturals, for example, 709315 + ... + 709463.

Almost surely, 2^105698961 is an apocalyptic number.

105698961 is the 10281-st square number.

105698961 is the 5141-st centered octagonal number.

It is an amenable number.

105698961 is a deficient number, since it is larger than the sum of its proper divisors (54982378).

105698961 is an equidigital number, since it uses as much as digits as its factorization.

105698961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The cubic root of 105698961 is about 472.8139041193.

The spelling of 105698961 in words is "one hundred five million, six hundred ninety-eight thousand, nine hundred sixty-one".