209960100 has 405 divisors, whose sum is σ = 827646897. Its totient is φ = 45904320.

The previous prime is 209960071. The next prime is 209960141. The reversal of 209960100 is 1069902.

It is a happy number.

The square root of 209960100 is 14490.

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

It can be written as a sum of positive squares in only one way, i.e., 75585636 + 134374464 = 8694^2 + 11592^2 .

It is a tau number, because it is divible by the number of its divisors (405).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 9128689 + ... + 9128711.

Almost surely, 2^209960100 is an apocalyptic number.

209960100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

209960100 is the 14490-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 209960100

209960100 is an abundant number, since it is smaller than the sum of its proper divisors (617686797).

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

209960100 is a wasteful number, since it uses less digits than its factorization.

209960100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The cubic root of 209960100 is about 594.3545480529.

The spelling of 209960100 in words is "two hundred nine million, nine hundred sixty thousand, one hundred".