1105112010 has 128 divisors (see below), whose sum is σ = 2874942720. Its totient is φ = 271005696.

The previous prime is 1105112009. The next prime is 1105112011. The reversal of 1105112010 is 102115011.

It is an interprime number because it is at equal distance from previous prime (1105112009) and next prime (1105112011).

It is not an unprimeable number, because it can be changed into a prime (1105112011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4742854 + ... + 4743086.

It is an arithmetic number, because the mean of its divisors is an integer number (22460490).

Almost surely, 2^1105112010 is an apocalyptic number.

1105112010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1105112010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437471360).

1105112010 is an abundant number, since it is smaller than the sum of its proper divisors (1769830710).

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

1105112010 is a wasteful number, since it uses less digits than its factorization.

1105112010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472.

The product of its (nonzero) digits is 10, while the sum is 12.

The square root of 1105112010 is about 33243.2250240557. The cubic root of 1105112010 is about 1033.8767435484.

Adding to 1105112010 its reverse (102115011), we get a palindrome (1207227021).

The spelling of 1105112010 in words is "one billion, one hundred five million, one hundred twelve thousand, ten".