1105416 has 48 divisors (see below), whose sum is σ = 3226860. Its totient is φ = 339840.

The previous prime is 1105397. The next prime is 1105427. The reversal of 1105416 is 6145011.

It can be written as a sum of positive squares in 2 ways, for example, as 1102500 + 2916 = 1050^2 + 54^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 346 + ... + 1526.

2^1105416 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 1105416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1613430).

1105416 is an abundant number, since it is smaller than the sum of its proper divisors (2121444).

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

1105416 is a wasteful number, since it uses less digits than its factorization.

1105416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1105416 is about 1051.3876544833. The cubic root of 1105416 is about 103.3971533149.

It can be divided in two parts, 1105 and 416, that added together give a square (1521 = 39²).

The spelling of 1105416 in words is "one million, one hundred five thousand, four hundred sixteen".