10305392 has 40 divisors (see below), whose sum is σ = 20951040. Its totient is φ = 4904640.

The previous prime is 10305371. The next prime is 10305431. The reversal of 10305392 is 29350301.

It is a happy number.

It is a super-3 number, since 3×10305392³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39053 + ... + 39315.

It is an arithmetic number, because the mean of its divisors is an integer number (523776).

Almost surely, 2^10305392 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 10305392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10475520).

10305392 is an abundant number, since it is smaller than the sum of its proper divisors (10645648).

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

10305392 is a wasteful number, since it uses less digits than its factorization.

10305392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 23.

The square root of 10305392 is about 3210.2012397979. The cubic root of 10305392 is about 217.6146715526.

Adding to 10305392 its reverse (29350301), we get a palindrome (39655693).

The spelling of 10305392 in words is "ten million, three hundred five thousand, three hundred ninety-two".