1111106000 has 80 divisors (see below), whose sum is σ = 2779442640. Its totient is φ = 429094400.

The previous prime is 1111105979. The next prime is 1111106021. The reversal of 1111106000 is 6011111.

It is an interprime number because it is at equal distance from previous prime (1111105979) and next prime (1111106021).

It can be written as a sum of positive squares in 8 ways, for example, as 680792464 + 430313536 = 26092^2 + 20744^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48422 + ... + 67578.

It is an arithmetic number, because the mean of its divisors is an integer number (34743033).

Almost surely, 2^1111106000 is an apocalyptic number.

1111106000 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 1111106000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389721320).

1111106000 is an abundant number, since it is smaller than the sum of its proper divisors (1668336640).

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

1111106000 is a wasteful number, since it uses less digits than its factorization.

1111106000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19209 (or 19193 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 11.

The square root of 1111106000 is about 33333.2566665785. The cubic root of 1111106000 is about 1035.7425805078.

Adding to 1111106000 its reverse (6011111), we get a palindrome (1117117111).

The spelling of 1111106000 in words is "one billion, one hundred eleven million, one hundred six thousand".