105766122 has 64 divisors (see below), whose sum is σ = 277632000. Its totient is φ = 26023680.

The previous prime is 105766117. The next prime is 105766127. The reversal of 105766122 is 221667501.

It is an interprime number because it is at equal distance from previous prime (105766117) and next prime (105766127).

It is a super-2 number, since 2×105766122² = 22372945125837768, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105766122.

It is not an unprimeable number, because it can be changed into a prime (105766127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2754 + ... + 14802.

It is an arithmetic number, because the mean of its divisors is an integer number (4338000).

Almost surely, 2^105766122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105766122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138816000).

105766122 is an abundant number, since it is smaller than the sum of its proper divisors (171865878).

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

105766122 is a wasteful number, since it uses less digits than its factorization.

105766122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12091.

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

The square root of 105766122 is about 10284.2657491918. The cubic root of 105766122 is about 472.9140247230.

The spelling of 105766122 in words is "one hundred five million, seven hundred sixty-six thousand, one hundred twenty-two".