208492692100 has 243 divisors, whose sum is σ = 579466857711. Its totient is φ = 64875148800.

The previous prime is 208492692053. The next prime is 208492692101. The reversal of 208492692100 is 1296294802.

It is a happy number.

The square root of 208492692100 is 456610.

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

208492692100 is digitally balanced in base 3, 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 140612164 + 208352079936 = 11858^2 + 456456^2 .

It is not an unprimeable number, because it can be changed into a prime (208492692101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 351589404 + ... + 351589996.

Almost surely, 2^208492692100 is an apocalyptic number.

208492692100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

208492692100 is the 456610-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208492692100

208492692100 is an abundant number, since it is smaller than the sum of its proper divisors (370974165611).

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

208492692100 is a wasteful number, since it uses less digits than its factorization.

208492692100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 43.

The spelling of 208492692100 in words is "two hundred eight billion, four hundred ninety-two million, six hundred ninety-two thousand, one hundred".