105746790 has 64 divisors (see below), whose sum is σ = 262180800. Its totient is φ = 27279360.

The previous prime is 105746743. The next prime is 105746807. The reversal of 105746790 is 97647501.

It is a super-2 number, since 2×105746790² = 22364767190608200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 182982 + ... + 183558.

It is an arithmetic number, because the mean of its divisors is an integer number (4096575).

Almost surely, 2^105746790 is an apocalyptic number.

105746790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105746790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131090400).

105746790 is an abundant number, since it is smaller than the sum of its proper divisors (156434010).

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

105746790 is a wasteful number, since it uses less digits than its factorization.

105746790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777.

The product of its (nonzero) digits is 52920, while the sum is 39.

The square root of 105746790 is about 10283.3258238762. The cubic root of 105746790 is about 472.8852097905.

The spelling of 105746790 in words is "one hundred five million, seven hundred forty-six thousand, seven hundred ninety".