1105606656 has 576 divisors, whose sum is σ = 4292870400. Its totient is φ = 265420800.

The previous prime is 1105606631. The next prime is 1105606687. The reversal of 1105606656 is 6566065011.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1105606656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26965996 + ... + 26966036.

It is an arithmetic number, because the mean of its divisors is an integer number (7452900).

Almost surely, 2^1105606656 is an apocalyptic number.

1105606656 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 1105606656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2146435200).

1105606656 is an abundant number, since it is smaller than the sum of its proper divisors (3187263744).

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

1105606656 is a wasteful number, since it uses less digits than its factorization.

1105606656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 1105606656 is about 33250.6639933701. The cubic root of 1105606656 is about 1034.0309742837.

The spelling of 1105606656 in words is "one billion, one hundred five million, six hundred six thousand, six hundred fifty-six".