103856000 has 64 divisors (see below), whose sum is σ = 258251760. Its totient is φ = 41536000.

The previous prime is 103855987. The next prime is 103856021. The reversal of 103856000 is 658301.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12755 + ... + 19245.

Almost surely, 2^103856000 is an apocalyptic number.

103856000 is a gapful number since it is divisible by the number (10) 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 103856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129125880).

103856000 is an abundant number, since it is smaller than the sum of its proper divisors (154395760).

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

103856000 is an frugal number, since it uses more digits than its factorization.

103856000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6520 (or 6498 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 103856000 is about 10190.9764007184. The cubic root of 103856000 is about 470.0497910130.

The spelling of 103856000 in words is "one hundred three million, eight hundred fifty-six thousand".