100896 has 24 divisors (see below), whose sum is σ = 265104. Its totient is φ = 33600.

The previous prime is 100853. The next prime is 100907. The reversal of 100896 is 698001.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a plaindrome in base 14.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 430 + ... + 621.

It is an arithmetic number, because the mean of its divisors is an integer number (11046).

2¹⁰⁰⁸⁹⁶ is an apocalyptic number.

100896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

100896 is an abundant number, since it is smaller than the sum of its proper divisors (164208).

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

100896 is a wasteful number, since it uses less digits than its factorization.

100896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 100896 is about 317.6413071375. The cubic root of 100896 is about 46.5541051334.

Adding to 100896 its reverse (698001), we get a palindrome (798897).

The spelling of 100896 in words is "one hundred thousand, eight hundred ninety-six".