21359075100 has 144 divisors (see below), whose sum is σ = 69239485056. Its totient is φ = 5037984000.

The previous prime is 21359075071. The next prime is 21359075107. The reversal of 21359075100 is 157095312.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21359075107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34635 + ... + 209565.

Almost surely, 2^21359075100 is an apocalyptic number.

21359075100 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 21359075100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34619742528).

21359075100 is an abundant number, since it is smaller than the sum of its proper divisors (47880409956).

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

21359075100 is a wasteful number, since it uses less digits than its factorization.

21359075100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174996 (or 174989 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 33.

The spelling of 21359075100 in words is "twenty-one billion, three hundred fifty-nine million, seventy-five thousand, one hundred".