102696 has 32 divisors (see below), whose sum is σ = 280800. Its totient is φ = 31040.

The previous prime is 102679. The next prime is 102701. The reversal of 102696 is 696201.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70 + ... + 458.

It is an arithmetic number, because the mean of its divisors is an integer number (8775).

2¹⁰²⁶⁹⁶ 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 102696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140400).

102696 is an abundant number, since it is smaller than the sum of its proper divisors (178104).

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

102696 is a wasteful number, since it uses less digits than its factorization.

102696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 102696 is about 320.4621662537. The cubic root of 102696 is about 46.8293190527.

Adding to 102696 its reverse (696201), we get a palindrome (798897).

Subtracting 102696 from its reverse (696201), we obtain a triangular number (593505 = T₁₀₈₉).

The spelling of 102696 in words is "one hundred two thousand, six hundred ninety-six".