21062666100 has 144 divisors (see below), whose sum is σ = 69695539200. Its totient is φ = 4810984320.

The previous prime is 21062666081. The next prime is 21062666111. The reversal of 21062666100 is 166626012.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4279441 + ... + 4284359.

It is an arithmetic number, because the mean of its divisors is an integer number (483996800).

Almost surely, 2^21062666100 is an apocalyptic number.

21062666100 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 21062666100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34847769600).

21062666100 is an abundant number, since it is smaller than the sum of its proper divisors (48632873100).

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

21062666100 is a wasteful number, since it uses less digits than its factorization.

21062666100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6982 (or 6975 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 21062666100 in words is "twenty-one billion, sixty-two million, six hundred sixty-six thousand, one hundred".