10123792 has 60 divisors (see below), whose sum is σ = 23501100. Its totient is φ = 4209408.

The previous prime is 10123781. The next prime is 10123807. The reversal of 10123792 is 29732101.

It can be written as a sum of positive squares in 2 ways, for example, as 8317456 + 1806336 = 2884^2 + 1344^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28834 + ... + 29182.

It is an arithmetic number, because the mean of its divisors is an integer number (391685).

Almost surely, 2^10123792 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 10123792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11750550).

10123792 is an abundant number, since it is smaller than the sum of its proper divisors (13377308).

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

10123792 is a wasteful number, since it uses less digits than its factorization.

10123792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 25.

The square root of 10123792 is about 3181.7906907903. The cubic root of 10123792 is about 216.3288315620.

Adding to 10123792 its reverse (29732101), we get a palindrome (39855893).

The spelling of 10123792 in words is "ten million, one hundred twenty-three thousand, seven hundred ninety-two".