10305792 has 180 divisors, whose sum is σ = 35614656. Its totient is φ = 2903040.

The previous prime is 10305773. The next prime is 10305793. The reversal of 10305792 is 29750301.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10305793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 145117 + ... + 145187.

Almost surely, 2^10305792 is an apocalyptic number.

10305792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10305792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17807328).

10305792 is an abundant number, since it is smaller than the sum of its proper divisors (25308864).

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

10305792 is an frugal number, since it uses more digits than its factorization.

10305792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 10305792 is about 3210.2635405835. The cubic root of 10305792 is about 217.6174870606.

The spelling of 10305792 in words is "ten million, three hundred five thousand, seven hundred ninety-two".