10090314 has 72 divisors (see below), whose sum is σ = 24665472. Its totient is φ = 2976480.

The previous prime is 10090313. The next prime is 10090369. The reversal of 10090314 is 41309001.

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 (10090313) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 94249 + ... + 94355.

It is an arithmetic number, because the mean of its divisors is an integer number (342576).

Almost surely, 2^10090314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10090314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12332736).

10090314 is an abundant number, since it is smaller than the sum of its proper divisors (14575158).

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

10090314 is a wasteful number, since it uses less digits than its factorization.

10090314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 10090314 is about 3176.5254603104. The cubic root of 10090314 is about 216.0901115787.

Adding to 10090314 its reverse (41309001), we get a palindrome (51399315).

It can be divided in two parts, 10090 and 314, that added together give a square (10404 = 102²).

The spelling of 10090314 in words is "ten million, ninety thousand, three hundred fourteen".