1105653120 has 256 divisors, whose sum is σ = 4141428480. Its totient is φ = 247357440.

The previous prime is 1105653113. The next prime is 1105653127. The reversal of 1105653120 is 213565011.

1105653120 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1105653113) and next prime (1105653127).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1105653127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 272547 + ... + 276573.

It is an arithmetic number, because the mean of its divisors is an integer number (16177455).

Almost surely, 2^1105653120 is an apocalyptic number.

1105653120 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 1105653120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2070714240).

1105653120 is an abundant number, since it is smaller than the sum of its proper divisors (3035775360).

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

1105653120 is a wasteful number, since it uses less digits than its factorization.

1105653120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4073 (or 4061 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 1105653120 is about 33251.3626788437. The cubic root of 1105653120 is about 1034.0454594058.

The spelling of 1105653120 in words is "one billion, one hundred five million, six hundred fifty-three thousand, one hundred twenty".