209045734100 has 144 divisors (see below), whose sum is σ = 532527249408. Its totient is φ = 69737189760.

The previous prime is 209045734063. The next prime is 209045734109. The reversal of 209045734100 is 1437540902.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (209045734109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7903097 + ... + 7929503.

Almost surely, 2^209045734100 is an apocalyptic number.

209045734100 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 209045734100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266263624704).

209045734100 is an abundant number, since it is smaller than the sum of its proper divisors (323481515308).

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

209045734100 is a wasteful number, since it uses less digits than its factorization.

209045734100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26734 (or 26727 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The spelling of 209045734100 in words is "two hundred nine billion, forty-five million, seven hundred thirty-four thousand, one hundred".