209024342100 has 432 divisors, whose sum is σ = 793385261760. Its totient is φ = 47061907200.

The previous prime is 209024342077. The next prime is 209024342119. The reversal of 209024342100 is 1243420902.

209024342100 is a `hidden beast` number, since 209 + 0 + 2 + 434 + 21 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8852310 + ... + 8875890.

Almost surely, 2^209024342100 is an apocalyptic number.

209024342100 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 209024342100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396692630880).

209024342100 is an abundant number, since it is smaller than the sum of its proper divisors (584360919660).

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

209024342100 is a wasteful number, since it uses less digits than its factorization.

209024342100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23685 (or 23665 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 209024342100 in words is "two hundred nine billion, twenty-four million, three hundred forty-two thousand, one hundred".