100133828 has 12 divisors (see below), whose sum is σ = 175399980. Its totient is φ = 50019552.

The previous prime is 100133827. The next prime is 100133837. The reversal of 100133828 is 828331001.

It can be written as a sum of positive squares in 2 ways, for example, as 3268864 + 96864964 = 1808^2 + 9842^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100133797 and 100133806.

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 3 ways as a sum of consecutive naturals, for example, 6851 + ... + 15722.

It is an arithmetic number, because the mean of its divisors is an integer number (14616665).

Almost surely, 2^100133828 is an apocalyptic number.

It is an amenable number.

100133828 is a deficient number, since it is larger than the sum of its proper divisors (75266152).

100133828 is a wasteful number, since it uses less digits than its factorization.

100133828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23686 (or 23684 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 100133828 is about 10006.6891627551. The cubic root of 100133828 is about 464.3658492461.

Adding to 100133828 its reverse (828331001), we get a palindrome (928464829).

The spelling of 100133828 in words is "one hundred million, one hundred thirty-three thousand, eight hundred twenty-eight".