105251661 has 6 divisors (see below), whose sum is σ = 152030190. Its totient is φ = 70167768.

The previous prime is 105251647. The next prime is 105251669. The reversal of 105251661 is 166152501.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 103917636 + 1334025 = 10194^2 + 1155^2 .

It is not a de Polignac number, because 105251661 - 2⁷ = 105251533 is a prime.

It is a super-2 number, since 2×105251661² = 22155824286517842, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105251669) 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 in 5 ways as a sum of consecutive naturals, for example, 5847306 + ... + 5847323.

It is an arithmetic number, because the mean of its divisors is an integer number (25338365).

Almost surely, 2^105251661 is an apocalyptic number.

It is an amenable number.

105251661 is a deficient number, since it is larger than the sum of its proper divisors (46778529).

105251661 is a wasteful number, since it uses less digits than its factorization.

105251661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11694635 (or 11694632 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 105251661 is about 10259.2232162089. The cubic root of 105251661 is about 472.1460051160.

The spelling of 105251661 in words is "one hundred five million, two hundred fifty-one thousand, six hundred sixty-one".