103659696 has 240 divisors, whose sum is σ = 356227200. Its totient is φ = 28764288.

The previous prime is 103659683. The next prime is 103659701. The reversal of 103659696 is 696956301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1248871 + ... + 1248953.

It is an arithmetic number, because the mean of its divisors is an integer number (1484280).

Almost surely, 2^103659696 is an apocalyptic number.

103659696 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 103659696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178113600).

103659696 is an abundant number, since it is smaller than the sum of its proper divisors (252567504).

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

103659696 is a wasteful number, since it uses less digits than its factorization.

103659696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 103659696 is about 10181.3405797076. The cubic root of 103659696 is about 469.7534484750.

The spelling of 103659696 in words is "one hundred three million, six hundred fifty-nine thousand, six hundred ninety-six".