1105578144 has 144 divisors (see below), whose sum is σ = 3452458464. Its totient is φ = 332812800.

The previous prime is 1105578139. The next prime is 1105578163. The reversal of 1105578144 is 4418755011.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1105578099 and 1105578108.

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, 515314 + ... + 517454.

It is an arithmetic number, because the mean of its divisors is an integer number (23975406).

Almost surely, 2^1105578144 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 1105578144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1726229232).

1105578144 is an abundant number, since it is smaller than the sum of its proper divisors (2346880320).

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

1105578144 is a wasteful number, since it uses less digits than its factorization.

1105578144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2331 (or 2320 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The square root of 1105578144 is about 33250.2352472881. The cubic root of 1105578144 is about 1034.0220854852.

The spelling of 1105578144 in words is "one billion, one hundred five million, five hundred seventy-eight thousand, one hundred forty-four".