10147312 has 60 divisors (see below), whose sum is σ = 23473200. Its totient is φ = 4247712.

The previous prime is 10147309. The next prime is 10147337. The reversal of 10147312 is 21374101.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a self number, because there is not a number n which added to its sum of digits gives 10147312.

It is a congruent number.

It is an unprimeable number.

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, 235963 + ... + 236005.

It is an arithmetic number, because the mean of its divisors is an integer number (391220).

Almost surely, 2^10147312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10147312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11736600).

10147312 is an abundant number, since it is smaller than the sum of its proper divisors (13325888).

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

10147312 is an frugal number, since it uses more digits than its factorization.

10147312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 10147312 is about 3185.4845785218. The cubic root of 10147312 is about 216.4962299354.

The spelling of 10147312 in words is "ten million, one hundred forty-seven thousand, three hundred twelve".