10146008 has 32 divisors (see below), whose sum is σ = 20489760. Its totient is φ = 4692480.

The previous prime is 10146007. The next prime is 10146077. The reversal of 10146008 is 80064101.

It is a super-3 number, since 3×10146008³ (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10146001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7685 + ... + 8907.

It is an arithmetic number, because the mean of its divisors is an integer number (640305).

Almost surely, 2^10146008 is an apocalyptic number.

It is an amenable number.

10146008 is an abundant number, since it is smaller than the sum of its proper divisors (10343752).

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

10146008 is a wasteful number, since it uses less digits than its factorization.

10146008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1307 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 10146008 is about 3185.2798935101. The cubic root of 10146008 is about 216.4869557822.

The spelling of 10146008 in words is "ten million, one hundred forty-six thousand, eight".