10123040 has 48 divisors (see below), whose sum is σ = 24131520. Its totient is φ = 4012800.

The previous prime is 10123033. The next prime is 10123049. The reversal of 10123040 is 4032101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10123049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23951 + ... + 24369.

It is an arithmetic number, because the mean of its divisors is an integer number (502740).

Almost surely, 2^10123040 is an apocalyptic number.

10123040 is a gapful number since it is divisible by the number (10) 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 10123040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12065760).

10123040 is an abundant number, since it is smaller than the sum of its proper divisors (14008480).

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

10123040 is a wasteful number, since it uses less digits than its factorization.

10123040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 10123040 is about 3181.6725161462. The cubic root of 10123040 is about 216.3234750939.

Adding to 10123040 its reverse (4032101), we get a palindrome (14155141).

The spelling of 10123040 in words is "ten million, one hundred twenty-three thousand, forty".