10260096 has 128 divisors (see below), whose sum is σ = 34076160. Its totient is φ = 2657280.

The previous prime is 10260091. The next prime is 10260097. The reversal of 10260096 is 69006201.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10260091) 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, 29395 + ... + 29741.

It is an arithmetic number, because the mean of its divisors is an integer number (266220).

Almost surely, 2^10260096 is an apocalyptic number.

10260096 is a gapful number since it is divisible by the number (16) 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 10260096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17038080).

10260096 is an abundant number, since it is smaller than the sum of its proper divisors (23816064).

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

10260096 is a wasteful number, since it uses less digits than its factorization.

10260096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 10260096 is about 3203.1384609473. The cubic root of 10260096 is about 217.2953710234.

Adding to 10260096 its reverse (69006201), we get a palindrome (79266297).

The spelling of 10260096 in words is "ten million, two hundred sixty thousand, ninety-six".