10123360 has 96 divisors (see below), whose sum is σ = 26756352. Its totient is φ = 3594240.

The previous prime is 10123357. The next prime is 10123363. The reversal of 10123360 is 6332101.

It is an interprime number because it is at equal distance from previous prime (10123357) and next prime (10123363).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10123363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64402 + ... + 64558.

It is an arithmetic number, because the mean of its divisors is an integer number (278712).

Almost surely, 2^10123360 is an apocalyptic number.

10123360 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 10123360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13378176).

10123360 is an abundant number, since it is smaller than the sum of its proper divisors (16632992).

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

10123360 is a wasteful number, since it uses less digits than its factorization.

10123360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 10123360 is about 3181.7228037653. The cubic root of 10123360 is about 216.3257544744.

Adding to 10123360 its reverse (6332101), we get a palindrome (16455461).

The spelling of 10123360 in words is "ten million, one hundred twenty-three thousand, three hundred sixty".