210429194100 has 144 divisors (see below), whose sum is σ = 618544910592. Its totient is φ = 55223562240.

The previous prime is 210429194083. The next prime is 210429194153. The reversal of 210429194100 is 1491924012.

210429194100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10129324 + ... + 10150076.

It is an arithmetic number, because the mean of its divisors is an integer number (4295450768).

Almost surely, 2^210429194100 is an apocalyptic number.

210429194100 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 210429194100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309272455296).

210429194100 is an abundant number, since it is smaller than the sum of its proper divisors (408115716492).

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

210429194100 is a wasteful number, since it uses less digits than its factorization.

210429194100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21306 (or 21299 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The spelling of 210429194100 in words is "two hundred ten billion, four hundred twenty-nine million, one hundred ninety-four thousand, one hundred".