21105700000 has 288 divisors, whose sum is σ = 64775604096. Its totient is φ = 6576000000.

The previous prime is 21105699997. The next prime is 21105700117. The reversal of 21105700000 is 750112.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 7698630 + ... + 7701370.

It is an arithmetic number, because the mean of its divisors is an integer number (224915292).

Almost surely, 2^21105700000 is an apocalyptic number.

21105700000 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 21105700000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32387802048).

21105700000 is an abundant number, since it is smaller than the sum of its proper divisors (43669904096).

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

21105700000 is an equidigital number, since it uses as much as digits as its factorization.

21105700000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2794 (or 2766 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 16.

The spelling of 21105700000 in words is "twenty-one billion, one hundred five million, seven hundred thousand".