2021106000 has 160 divisors (see below), whose sum is σ = 6859382400. Its totient is φ = 510566400.

The previous prime is 2021105969. The next prime is 2021106001. The reversal of 2021106000 is 6011202.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2021106001) 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, 105136 + ... + 122864.

It is an arithmetic number, because the mean of its divisors is an integer number (42871140).

Almost surely, 2^2021106000 is an apocalyptic number.

2021106000 is a gapful number since it is divisible by the number (20) 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 2021106000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3429691200).

2021106000 is an abundant number, since it is smaller than the sum of its proper divisors (4838276400).

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

2021106000 is a wasteful number, since it uses less digits than its factorization.

2021106000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17774 (or 17758 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2021106000 is about 44956.7125132610. The cubic root of 2021106000 is about 1264.3375327024.

Adding to 2021106000 its reverse (6011202), we get a palindrome (2027117202).

The spelling of 2021106000 in words is "two billion, twenty-one million, one hundred six thousand".