21960100 has 36 divisors (see below), whose sum is σ = 48771184. Its totient is φ = 8578080.

The previous prime is 21960091. The next prime is 21960131. The reversal of 21960100 is 106912.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1747 + ... + 6853.

Almost surely, 2^21960100 is an apocalyptic number.

21960100 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 21960100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24385592).

21960100 is an abundant number, since it is smaller than the sum of its proper divisors (26811084).

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

21960100 is a wasteful number, since it uses less digits than its factorization.

21960100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5164 (or 5157 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

The square root of 21960100 is about 4686.1604752718. The cubic root of 21960100 is about 280.0344345406.

The spelling of 21960100 in words is "twenty-one million, nine hundred sixty thousand, one hundred".