102896 has 20 divisors (see below), whose sum is σ = 204600. Its totient is φ = 50112.

The previous prime is 102881. The next prime is 102911. The reversal of 102896 is 698201.

It is an interprime number because it is at equal distance from previous prime (102881) and next prime (102911).

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 102896.

It is an unprimeable number.

102896 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 890 + ... + 998.

It is an arithmetic number, because the mean of its divisors is an integer number (10230).

2¹⁰²⁸⁹⁶ is an apocalyptic number.

102896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

102896 is a deficient number, since it is larger than the sum of its proper divisors (101704).

102896 is a wasteful number, since it uses less digits than its factorization.

102896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 102896 is about 320.7740637895. The cubic root of 102896 is about 46.8596993025.

The spelling of 102896 in words is "one hundred two thousand, eight hundred ninety-six".