10253124 has 144 divisors (see below), whose sum is σ = 32497920. Its totient is φ = 2661120.

The previous prime is 10253053. The next prime is 10253149. The reversal of 10253124 is 42135201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10253097 and 10253106.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 168054 + ... + 168114.

It is an arithmetic number, because the mean of its divisors is an integer number (225680).

Almost surely, 2^10253124 is an apocalyptic number.

10253124 is a gapful number since it is divisible by the number (14) 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 10253124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16248960).

10253124 is an abundant number, since it is smaller than the sum of its proper divisors (22244796).

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

10253124 is a wasteful number, since it uses less digits than its factorization.

10253124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 10253124 is about 3202.0499683796. The cubic root of 10253124 is about 217.2461405999.

Adding to 10253124 its reverse (42135201), we get a palindrome (52388325).

The spelling of 10253124 in words is "ten million, two hundred fifty-three thousand, one hundred twenty-four".