1106054016 has 64 divisors (see below), whose sum is σ = 2973438720. Its totient is φ = 364232192.

The previous prime is 1106053981. The next prime is 1106054039. The reversal of 1106054016 is 6104506011.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14521 + ... + 49223.

It is an arithmetic number, because the mean of its divisors is an integer number (46459980).

Almost surely, 2^1106054016 is an apocalyptic number.

1106054016 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 1106054016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1486719360).

1106054016 is an abundant number, since it is smaller than the sum of its proper divisors (1867384704).

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

1106054016 is an equidigital number, since it uses as much as digits as its factorization.

1106054016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34803 (or 34791 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 1106054016 is about 33257.3903967224. The cubic root of 1106054016 is about 1034.1704216229.

The spelling of 1106054016 in words is "one billion, one hundred six million, fifty-four thousand, sixteen".