202689044100 has 243 divisors, whose sum is σ = 652305029103. Its totient is φ = 52642154880.

The previous prime is 202689044081. The next prime is 202689044141. The reversal of 202689044100 is 1440986202.

The square root of 202689044100 is 450210.

It is a perfect power (a square), and thus also a powerful number.

202689044100 is a `hidden beast` number, since 202 + 6 + 8 + 9 + 0 + 441 + 0 + 0 = 666.

202689044100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2085383556 + 200603660544 = 45666^2 + 447888^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 580770726 + ... + 580771074.

Almost surely, 2^202689044100 is an apocalyptic number.

202689044100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

202689044100 is the 450210-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202689044100

202689044100 is an abundant number, since it is smaller than the sum of its proper divisors (449615985003).

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

202689044100 is a wasteful number, since it uses less digits than its factorization.

202689044100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Multiplying 202689044100 by its sum of digits (36), we get a square (7296805587600 = 2701260²).

202689044100 divided by its sum of digits (36) gives a square (5630251225 = 75035²).

The spelling of 202689044100 in words is "two hundred two billion, six hundred eighty-nine million, forty-four thousand, one hundred".