10124160 has 64 divisors (see below), whose sum is σ = 32276880. Its totient is φ = 2699264.

The previous prime is 10124143. The next prime is 10124173. The reversal of 10124160 is 6142101.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (15).

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 7 ways as a sum of consecutive naturals, for example, 717 + ... + 4556.

Almost surely, 2^10124160 is an apocalyptic number.

10124160 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 10124160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16138440).

10124160 is an abundant number, since it is smaller than the sum of its proper divisors (22152720).

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

10124160 is an equidigital number, since it uses as much as digits as its factorization.

10124160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5295 (or 5283 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 10124160 is about 3181.8485193359. The cubic root of 10124160 is about 216.3314527158.

Adding to 10124160 its reverse (6142101), we get a palindrome (16266261).

The spelling of 10124160 in words is "ten million, one hundred twenty-four thousand, one hundred sixty".