100313268 has 48 divisors (see below), whose sum is σ = 256423104. Its totient is φ = 30269440.

The previous prime is 100313267. The next prime is 100313287. The reversal of 100313268 is 862313001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100313261) 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, 32446 + ... + 35402.

It is an arithmetic number, because the mean of its divisors is an integer number (5342148).

Almost surely, 2^100313268 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100313268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128211552).

100313268 is an abundant number, since it is smaller than the sum of its proper divisors (156109836).

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

100313268 is a wasteful number, since it uses less digits than its factorization.

100313268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3232 (or 3230 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 100313268 is about 10015.6511520719. The cubic root of 100313268 is about 464.6430652007.

Adding to 100313268 its reverse (862313001), we get a palindrome (962626269).

The spelling of 100313268 in words is "one hundred million, three hundred thirteen thousand, two hundred sixty-eight".