105775104 has 72 divisors (see below), whose sum is σ = 283114440. Its totient is φ = 35127296.

The previous prime is 105775079. The next prime is 105775123. The reversal of 105775104 is 401577501.

It is a super-2 number, since 2×105775104² = 22376745252421632, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 393082 + ... + 393350.

It is an arithmetic number, because the mean of its divisors is an integer number (3932145).

Almost surely, 2^105775104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105775104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141557220).

105775104 is an abundant number, since it is smaller than the sum of its proper divisors (177339336).

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

105775104 is an frugal number, since it uses more digits than its factorization.

105775104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 4900, while the sum is 30.

The square root of 105775104 is about 10284.7024264195. The cubic root of 105775104 is about 472.9274114718.

The spelling of 105775104 in words is "one hundred five million, seven hundred seventy-five thousand, one hundred four".