21434634100 has 72 divisors (see below), whose sum is σ = 51244282656. Its totient is φ = 7717200000.

The previous prime is 21434634047. The next prime is 21434634107. The reversal of 21434634100 is 143643412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21434634107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14635 + ... + 207565.

It is an arithmetic number, because the mean of its divisors is an integer number (711726148).

Almost surely, 2^21434634100 is an apocalyptic number.

21434634100 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 21434634100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25622141328).

21434634100 is an abundant number, since it is smaller than the sum of its proper divisors (29809648556).

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

21434634100 is a wasteful number, since it uses less digits than its factorization.

21434634100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193057 (or 193050 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The spelling of 21434634100 in words is "twenty-one billion, four hundred thirty-four million, six hundred thirty-four thousand, one hundred".