10153314 has 24 divisors (see below), whose sum is σ = 22329840. Its totient is φ = 3333528.

The previous prime is 10153313. The next prime is 10153321. The reversal of 10153314 is 41335101.

It is a super-3 number, since 3×10153314³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10153313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3004 + ... + 5415.

It is an arithmetic number, because the mean of its divisors is an integer number (930410).

Almost surely, 2^10153314 is an apocalyptic number.

10153314 is an abundant number, since it is smaller than the sum of its proper divisors (12176526).

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

10153314 is a wasteful number, since it uses less digits than its factorization.

10153314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8494 (or 8491 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 10153314 is about 3186.4265251218. The cubic root of 10153314 is about 216.5389064019.

Adding to 10153314 its reverse (41335101), we get a palindrome (51488415).

The spelling of 10153314 in words is "ten million, one hundred fifty-three thousand, three hundred fourteen".