105363661 has 8 divisors (see below), whose sum is σ = 113557304. Its totient is φ = 97182720.

The previous prime is 105363617. The next prime is 105363673. The reversal of 105363661 is 166363501.

It can be written as a sum of positive squares in 4 ways, for example, as 1425636 + 103938025 = 1194^2 + 10195^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105363661 - 2¹⁵ = 105330893 is a prime.

It is a super-2 number, since 2×105363661² = 22203002118645842, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105361661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20821 + ... + 25381.

It is an arithmetic number, because the mean of its divisors is an integer number (14194663).

Almost surely, 2^105363661 is an apocalyptic number.

It is an amenable number.

105363661 is a deficient number, since it is larger than the sum of its proper divisors (8193643).

105363661 is a wasteful number, since it uses less digits than its factorization.

105363661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6351.

The product of its (nonzero) digits is 9720, while the sum is 31.

The square root of 105363661 is about 10264.6802677921. The cubic root of 105363661 is about 472.3134184889.

The spelling of 105363661 in words is "one hundred five million, three hundred sixty-three thousand, six hundred sixty-one".