1106500 has 24 divisors (see below), whose sum is σ = 2417688. Its totient is φ = 442400.

The previous prime is 1106491. The next prime is 1106509. The reversal of 1106500 is 56011.

It is an interprime number because it is at equal distance from previous prime (1106491) and next prime (1106509).

It can be written as a sum of positive squares in 4 ways, for example, as 20736 + 1085764 = 144^2 + 1042^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1106509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 607 + ... + 1606.

It is an arithmetic number, because the mean of its divisors is an integer number (100737).

2^1106500 is an apocalyptic number.

1106500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1106500 is an abundant number, since it is smaller than the sum of its proper divisors (1311188).

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

1106500 is a wasteful number, since it uses less digits than its factorization.

1106500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2232 (or 2220 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 1106500 is about 1051.9030373566. The cubic root of 1106500 is about 103.4309402624.

The spelling of 1106500 in words is "one million, one hundred six thousand, five hundred".