10133632 has 32 divisors (see below), whose sum is σ = 21380220. Its totient is φ = 4767744.

The previous prime is 10133609. The next prime is 10133657. The reversal of 10133632 is 23633101.

It can be written as a sum of positive squares in 2 ways, for example, as 10086976 + 46656 = 3176^2 + 216^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×10133632² = 205380995022848, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 153 + ... + 4504.

Almost surely, 2^10133632 is an apocalyptic number.

It is an amenable number.

10133632 is an abundant number, since it is smaller than the sum of its proper divisors (11246588).

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

10133632 is an equidigital number, since it uses as much as digits as its factorization.

10133632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4688 (or 4676 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 10133632 is about 3183.3366143090. The cubic root of 10133632 is about 216.3988970871.

Adding to 10133632 its reverse (23633101), we get a palindrome (33766733).

It can be divided in two parts, 101 and 33632, that added together give a palindrome (33733).

The spelling of 10133632 in words is "ten million, one hundred thirty-three thousand, six hundred thirty-two".