10125360 has 240 divisors, whose sum is σ = 40622400. Its totient is φ = 2257920.

The previous prime is 10125343. The next prime is 10125389. The reversal of 10125360 is 6352101.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 246940 + ... + 246980.

It is an arithmetic number, because the mean of its divisors is an integer number (169260).

Almost surely, 2^10125360 is an apocalyptic number.

10125360 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 10125360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20311200).

10125360 is an abundant number, since it is smaller than the sum of its proper divisors (30497040).

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

10125360 is a wasteful number, since it uses less digits than its factorization.

10125360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 10125360 is about 3182.0370833791. The cubic root of 10125360 is about 216.3399995150.

Adding to 10125360 its reverse (6352101), we get a palindrome (16477461).

The spelling of 10125360 in words is "ten million, one hundred twenty-five thousand, three hundred sixty".