100133825 has 24 divisors (see below), whose sum is σ = 143428320. Its totient is φ = 68537600.

The previous prime is 100133807. The next prime is 100133827. The reversal of 100133825 is 528331001.

It is not a de Polignac number, because 100133825 - 2⁸ = 100133569 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100133825.

It is not an unprimeable number, because it can be changed into a prime (100133827) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6035 + ... + 15384.

It is an arithmetic number, because the mean of its divisors is an integer number (5976180).

Almost surely, 2^100133825 is an apocalyptic number.

It is an amenable number.

100133825 is a deficient number, since it is larger than the sum of its proper divisors (43294495).

100133825 is a wasteful number, since it uses less digits than its factorization.

100133825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21457 (or 21452 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 100133825 is about 10006.6890128554. The cubic root of 100133825 is about 464.3658446086.

Adding to 100133825 its reverse (528331001), we get a palindrome (628464826).

The spelling of 100133825 in words is "one hundred million, one hundred thirty-three thousand, eight hundred twenty-five".