1105558944 has 96 divisors (see below), whose sum is σ = 3322368000. Its totient is φ = 315332352.

The previous prime is 1105558931. The next prime is 1105559053. The reversal of 1105558944 is 4498555011.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1105558896 and 1105558905.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 552057 + ... + 554055.

It is an arithmetic number, because the mean of its divisors is an integer number (34608000).

Almost surely, 2^1105558944 is an apocalyptic number.

1105558944 is a gapful number since it is divisible by the number (14) 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 1105558944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1661184000).

1105558944 is an abundant number, since it is smaller than the sum of its proper divisors (2216809056).

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

1105558944 is a wasteful number, since it uses less digits than its factorization.

1105558944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2842 (or 2834 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 42.

The square root of 1105558944 is about 33249.9465262728. The cubic root of 1105558944 is about 1034.0160996761.

The spelling of 1105558944 in words is "one billion, one hundred five million, five hundred fifty-eight thousand, nine hundred forty-four".