101296 has 20 divisors (see below), whose sum is σ = 211792. Its totient is φ = 46656.

The previous prime is 101293. The next prime is 101323. The reversal of 101296 is 692101.

101296 = 40² + 41² + ... + 71².

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (101293) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 36 + ... + 451.

2¹⁰¹²⁹⁶ is an apocalyptic number.

101296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

101296 is an abundant number, since it is smaller than the sum of its proper divisors (110496).

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

101296 is a wasteful number, since it uses less digits than its factorization.

101296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

The square root of 101296 is about 318.2703253525. The cubic root of 101296 is about 46.6155449254.

Adding to 101296 its reverse (692101), we get a palindrome (793397).

The spelling of 101296 in words is "one hundred one thousand, two hundred ninety-six".