100205133 has 32 divisors (see below), whose sum is σ = 156149760. Its totient is φ = 55978560.

The previous prime is 100205111. The next prime is 100205141. The reversal of 100205133 is 331502001.

It is a happy number.

It is not a de Polignac number, because 100205133 - 2¹² = 100201037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100205173) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 322048 + ... + 322358.

It is an arithmetic number, because the mean of its divisors is an integer number (4879680).

Almost surely, 2^100205133 is an apocalyptic number.

It is an amenable number.

100205133 is a deficient number, since it is larger than the sum of its proper divisors (55944627).

100205133 is a wasteful number, since it uses less digits than its factorization.

100205133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617.

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 100205133 is about 10010.2513954446. The cubic root of 100205133 is about 464.4760476046.

Adding to 100205133 its reverse (331502001), we get a palindrome (431707134).

The spelling of 100205133 in words is "one hundred million, two hundred five thousand, one hundred thirty-three".