201996100 has 36 divisors (see below), whose sum is σ = 439191508. Its totient is φ = 80640000.

The previous prime is 201996073. The next prime is 201996101. The reversal of 201996100 is 1699102.

It can be written as a sum of positive squares in 6 ways, for example, as 6220036 + 195776064 = 2494^2 + 13992^2 .

It is not an unprimeable number, because it can be changed into a prime (201996101) 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 11 ways as a sum of consecutive naturals, for example, 58420 + ... + 61780.

Almost surely, 2^201996100 is an apocalyptic number.

201996100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201996100 is an abundant number, since it is smaller than the sum of its proper divisors (237195408).

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

201996100 is a wasteful number, since it uses less digits than its factorization.

201996100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3976 (or 3969 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 28.

The square root of 201996100 is about 14212.5332013684. The cubic root of 201996100 is about 586.7426547291.

The spelling of 201996100 in words is "two hundred one million, nine hundred ninety-six thousand, one hundred".