1105506336 has 144 divisors (see below), whose sum is σ = 3358303200. Its totient is φ = 317306880.

The previous prime is 1105506323. The next prime is 1105506349. The reversal of 1105506336 is 6336055011.

It is an interprime number because it is at equal distance from previous prime (1105506323) and next prime (1105506349).

It is a super-2 number, since 2×1105506336² = 2444288517872289792, 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 23 ways as a sum of consecutive naturals, for example, 218200 + ... + 223208.

It is an arithmetic number, because the mean of its divisors is an integer number (23321550).

Almost surely, 2^1105506336 is an apocalyptic number.

1105506336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1105506336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1679151600).

1105506336 is an abundant number, since it is smaller than the sum of its proper divisors (2252796864).

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

1105506336 is a wasteful number, since it uses less digits than its factorization.

1105506336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5063 (or 5044 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

The square root of 1105506336 is about 33249.1554178448. The cubic root of 1105506336 is about 1033.9996982042. Note that the first 3 decimals are identical.

It can be divided in two parts, 110550 and 6336, that added together give a triangular number (116886 = T₄₈₃).

The spelling of 1105506336 in words is "one billion, one hundred five million, five hundred six thousand, three hundred thirty-six".