105661818 has 12 divisors (see below), whose sum is σ = 228933978. Its totient is φ = 35220600.

The previous prime is 105661813. The next prime is 105661859. The reversal of 105661818 is 818166501.

105661818 is a `hidden beast` number, since 10 + 566 + 1 + 81 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 63632529 + 42029289 = 7977^2 + 6483^2 .

It is a super-2 number, since 2×105661818² = 22328839566130248, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105661811) 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 5 ways as a sum of consecutive naturals, for example, 2935033 + ... + 2935068.

Almost surely, 2^105661818 is an apocalyptic number.

105661818 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

105661818 is an abundant number, since it is smaller than the sum of its proper divisors (123272160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105661818 is a wasteful number, since it uses less digits than its factorization.

105661818 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5870109 (or 5870106 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 105661818 is about 10279.1934508501. The cubic root of 105661818 is about 472.7585147879.

The spelling of 105661818 in words is "one hundred five million, six hundred sixty-one thousand, eight hundred eighteen".