105090744 has 64 divisors (see below), whose sum is σ = 295879680. Its totient is φ = 30816000.

The previous prime is 105090709. The next prime is 105090761. The reversal of 105090744 is 447090501.

It is a happy number.

It is a super-2 number, since 2×105090744² = 22088128948947072, 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 15 ways as a sum of consecutive naturals, for example, 1764 + ... + 14604.

It is an arithmetic number, because the mean of its divisors is an integer number (4623120).

Almost surely, 2^105090744 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 105090744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147939840).

105090744 is an abundant number, since it is smaller than the sum of its proper divisors (190788936).

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

105090744 is a wasteful number, since it uses less digits than its factorization.

105090744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12892 (or 12888 counting only the distinct ones).

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

The square root of 105090744 is about 10251.3776635143. The cubic root of 105090744 is about 471.9052644303.

The spelling of 105090744 in words is "one hundred five million, ninety thousand, seven hundred forty-four".