103821696 has 128 divisors (see below), whose sum is σ = 334396800. Its totient is φ = 31449600.

The previous prime is 103821689. The next prime is 103821713. The reversal of 103821696 is 696128301.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 103821696.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36651 + ... + 39381.

It is an arithmetic number, because the mean of its divisors is an integer number (2612475).

Almost surely, 2^103821696 is an apocalyptic number.

103821696 is a gapful number since it is divisible by the number (16) 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 103821696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167198400).

103821696 is an abundant number, since it is smaller than the sum of its proper divisors (230575104).

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

103821696 is a wasteful number, since it uses less digits than its factorization.

103821696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2765 (or 2747 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 103821696 is about 10189.2932041433. The cubic root of 103821696 is about 469.9980322839.

Adding to 103821696 its reverse (696128301), we get a palindrome (799949997).

The spelling of 103821696 in words is "one hundred three million, eight hundred twenty-one thousand, six hundred ninety-six".