100385133 has 16 divisors (see below), whose sum is σ = 139898880. Its totient is φ = 63907184.

The previous prime is 100385123. The next prime is 100385171. The reversal of 100385133 is 331583001.

It is a cyclic number.

It is not a de Polignac number, because 100385133 - 2⁶ = 100385069 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100385123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75448 + ... + 76766.

It is an arithmetic number, because the mean of its divisors is an integer number (8743680).

Almost surely, 2^100385133 is an apocalyptic number.

It is an amenable number.

100385133 is a deficient number, since it is larger than the sum of its proper divisors (39513747).

100385133 is a wasteful number, since it uses less digits than its factorization.

100385133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2448.

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 100385133 is about 10019.2381446894. The cubic root of 100385133 is about 464.7539963658.

The spelling of 100385133 in words is "one hundred million, three hundred eighty-five thousand, one hundred thirty-three".