1106451840 has 256 divisors, whose sum is σ = 3845661120. Its totient is φ = 268959744.

The previous prime is 1106451821. The next prime is 1106451881. The reversal of 1106451840 is 481546011.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1106451798 and 1106451807.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2420892 + ... + 2421348.

Almost surely, 2^1106451840 is an apocalyptic number.

1106451840 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 1106451840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1922830560).

1106451840 is an abundant number, since it is smaller than the sum of its proper divisors (2739209280).

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

1106451840 is a wasteful number, since it uses less digits than its factorization.

1106451840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 1106451840 is about 33263.3708454209. The cubic root of 1106451840 is about 1034.2943964293.

Adding to 1106451840 its reverse (481546011), we get a palindrome (1587997851).

The spelling of 1106451840 in words is "one billion, one hundred six million, four hundred fifty-one thousand, eight hundred forty".