101268 has 36 divisors (see below), whose sum is σ = 267540. Its totient is φ = 32256.

The previous prime is 101267. The next prime is 101273. The reversal of 101268 is 862101.

It can be written as a sum of positive squares in 2 ways, for example, as 49284 + 51984 = 222^2 + 228^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a zygodrome in base 5.

It is a self number, because there is not a number n which added to its sum of digits gives 101268.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101267) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 996 + ... + 1092.

2¹⁰¹²⁶⁸ is an apocalyptic number.

101268 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 101268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133770).

101268 is an abundant number, since it is smaller than the sum of its proper divisors (166272).

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

101268 is a wasteful number, since it uses less digits than its factorization.

101268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 131 counting only the distinct ones).

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

The square root of 101268 is about 318.2263345482. The cubic root of 101268 is about 46.6112494101.

Adding to 101268 its reverse (862101), we get a palindrome (963369).

The spelling of 101268 in words is "one hundred one thousand, two hundred sixty-eight".