10100268 has 48 divisors (see below), whose sum is σ = 26836320. Its totient is φ = 3283200.

The previous prime is 10100249. The next prime is 10100273. The reversal of 10100268 is 86200101.

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 10100268.

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 15 ways as a sum of consecutive naturals, for example, 3288 + ... + 5568.

It is an arithmetic number, because the mean of its divisors is an integer number (559090).

Almost surely, 2^10100268 is an apocalyptic number.

10100268 is a gapful number since it is divisible by the number (18) 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 10100268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13418160).

10100268 is an abundant number, since it is smaller than the sum of its proper divisors (16736052).

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

10100268 is a wasteful number, since it uses less digits than its factorization.

10100268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2335 (or 2327 counting only the distinct ones).

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

The square root of 10100268 is about 3178.0918803584. The cubic root of 10100268 is about 216.1611451810.

Adding to 10100268 its reverse (86200101), we get a palindrome (96300369).

The spelling of 10100268 in words is "ten million, one hundred thousand, two hundred sixty-eight".