1105665120 has 192 divisors, whose sum is σ = 4422781440. Its totient is φ = 252716544.

The previous prime is 1105665103. The next prime is 1105665137. The reversal of 1105665120 is 215665011.

It is a happy number.

1105665120 is a `hidden beast` number, since 1 + 1 + 0 + 5 + 6 + 651 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1105665103) and next prime (1105665137).

It is a super-2 number, since 2×1105665120² = 2444990715169228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 11959 + ... + 48521.

It is an arithmetic number, because the mean of its divisors is an integer number (23035320).

Almost surely, 2^1105665120 is an apocalyptic number.

1105665120 is a gapful number since it is divisible by the number (10) 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 1105665120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2211390720).

1105665120 is an abundant number, since it is smaller than the sum of its proper divisors (3317116320).

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

1105665120 is a wasteful number, since it uses less digits than its factorization.

1105665120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36594 (or 36580 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 1105665120 is about 33251.5431220868. The cubic root of 1105665120 is about 1034.0492003321.

It can be divided in two parts, 11056 and 65120, that added together give a square (76176 = 276²).

The spelling of 1105665120 in words is "one billion, one hundred five million, six hundred sixty-five thousand, one hundred twenty".