1006110612 has 96 divisors (see below), whose sum is σ = 2848930560. Its totient is φ = 305182080.

The previous prime is 1006110593. The next prime is 1006110617. The reversal of 1006110612 is 2160116001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006110617) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94638 + ... + 104730.

It is an arithmetic number, because the mean of its divisors is an integer number (29676360).

Almost surely, 2^1006110612 is an apocalyptic number.

1006110612 is a gapful number since it is divisible by the number (12) 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 1006110612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1424465280).

1006110612 is an abundant number, since it is smaller than the sum of its proper divisors (1842819948).

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

1006110612 is a wasteful number, since it uses less digits than its factorization.

1006110612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10190 (or 10182 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 1006110612 is about 31719.2467123669. The cubic root of 1006110612 is about 1002.0327358519.

Adding to 1006110612 its reverse (2160116001), we get a palindrome (3166226613).

The spelling of 1006110612 in words is "one billion, six million, one hundred ten thousand, six hundred twelve".