201684100 has 18 divisors (see below), whose sum is σ = 437654714. Its totient is φ = 80673600.

The previous prime is 201684083. The next prime is 201684113. The reversal of 201684100 is 1486102.

It can be written as a sum of positive squares in 3 ways, for example, as 69755904 + 131928196 = 8352^2 + 11486^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1008321 + ... + 1008520.

Almost surely, 2^201684100 is an apocalyptic number.

201684100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201684100 is an abundant number, since it is smaller than the sum of its proper divisors (235970614).

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

201684100 is a wasteful number, since it uses less digits than its factorization.

201684100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2016855 (or 2016848 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 201684100 is about 14201.5527320079. The cubic root of 201684100 is about 586.4404079007.

The spelling of 201684100 in words is "two hundred one million, six hundred eighty-four thousand, one hundred".