105682122 has 108 divisors (see below), whose sum is σ = 288834390. Its totient is φ = 27832896.

The previous prime is 105682121. The next prime is 105682127. The reversal of 105682122 is 221286501.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 31911201 + 73770921 = 5649^2 + 8589^2 .

It is a super-2 number, since 2×105682122² = 22337421820845768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105682121) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 148704 + ... + 149412.

Almost surely, 2^105682122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105682122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144417195).

105682122 is an abundant number, since it is smaller than the sum of its proper divisors (183152268).

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

105682122 is a wasteful number, since it uses less digits than its factorization.

105682122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 105682122 is about 10280.1810295345. The cubic root of 105682122 is about 472.7887946446.

The spelling of 105682122 in words is "one hundred five million, six hundred eighty-two thousand, one hundred twenty-two".