100133652 has 24 divisors (see below), whose sum is σ = 233809632. Its totient is φ = 33354400.

The previous prime is 100133617. The next prime is 100133659. The reversal of 100133652 is 256331001.

It is a super-3 number, since 3×100133652³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100133659) 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 7 ways as a sum of consecutive naturals, for example, 27202 + ... + 30662.

It is an arithmetic number, because the mean of its divisors is an integer number (9742068).

Almost surely, 2^100133652 is an apocalyptic number.

100133652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100133652 is an abundant number, since it is smaller than the sum of its proper divisors (133675980).

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

100133652 is a wasteful number, since it uses less digits than its factorization.

100133652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5879 (or 5877 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 100133652 is about 10006.6803686337. The cubic root of 100133652 is about 464.3655771821.

Adding to 100133652 its reverse (256331001), we get a palindrome (356464653).

The spelling of 100133652 in words is "one hundred million, one hundred thirty-three thousand, six hundred fifty-two".