105722661 has 40 divisors (see below), whose sum is σ = 162338400. Its totient is φ = 61119520.

The previous prime is 105722657. The next prime is 105722663. The reversal of 105722661 is 166227501.

105722661 = 984² + 985² + ... + 1082².

It is not a de Polignac number, because 105722661 - 2² = 105722657 is a prime.

It is a super-2 number, since 2×105722661² = 22354562097841842, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105722663) 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 39 ways as a sum of consecutive naturals, for example, 1273726 + ... + 1273808.

It is an arithmetic number, because the mean of its divisors is an integer number (4058460).

Almost surely, 2^105722661 is an apocalyptic number.

105722661 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105722661 is a deficient number, since it is larger than the sum of its proper divisors (56615739).

105722661 is an frugal number, since it uses more digits than its factorization.

105722661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 105722661 is about 10282.1525470108. The cubic root of 105722661 is about 472.8492398564.

The spelling of 105722661 in words is "one hundred five million, seven hundred twenty-two thousand, six hundred sixty-one".