10001268 has 18 divisors (see below), whose sum is σ = 25281074. Its totient is φ = 3333744.

The previous prime is 10001261. The next prime is 10001269. The reversal of 10001268 is 86210001.

10001268 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9809424 + 191844 = 3132^2 + 438^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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

It is a self number, because there is not a number n which added to its sum of digits gives 10001268.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001261) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 138871 + ... + 138942.

Almost surely, 2^10001268 is an apocalyptic number.

10001268 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10001268 is an abundant number, since it is smaller than the sum of its proper divisors (15279806).

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

10001268 is a wasteful number, since it uses less digits than its factorization.

10001268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277823 (or 277818 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 10001268 is about 3162.4781422170. The cubic root of 10001268 is about 215.4525746956.

Adding to 10001268 its reverse (86210001), we get a palindrome (96211269).

It can be divided in two parts, 1000126 and 8, that multiplied together give a palindrome (8001008).

The spelling of 10001268 in words is "ten million, one thousand, two hundred sixty-eight".