10133008 has 20 divisors (see below), whose sum is σ = 19838140. Its totient is φ = 5013504.

The previous prime is 10132999. The next prime is 10133029. The reversal of 10133008 is 80033101.

It can be written as a sum of positive squares in 2 ways, for example, as 2471184 + 7661824 = 1572^2 + 2768^2 .

It is a super-2 number, since 2×10133008² = 205355702256128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10132982 and 10133000.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1713 + ... + 4816.

It is an arithmetic number, because the mean of its divisors is an integer number (991907).

Almost surely, 2^10133008 is an apocalyptic number.

It is an amenable number.

10133008 is a deficient number, since it is larger than the sum of its proper divisors (9705132).

10133008 is an equidigital number, since it uses as much as digits as its factorization.

10133008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6634 (or 6628 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 10133008 is about 3183.2386024299. The cubic root of 10133008 is about 216.3944552548.

Adding to 10133008 its reverse (80033101), we get a palindrome (90166109).

The spelling of 10133008 in words is "ten million, one hundred thirty-three thousand, eight".