103685000 has 80 divisors (see below), whose sum is σ = 246717900. Its totient is φ = 40832000.

The previous prime is 103684963. The next prime is 103685027. The reversal of 103685000 is 586301.

It can be written as a sum of positive squares in 10 ways, for example, as 33895684 + 69789316 = 5822^2 + 8354^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 444884 + ... + 445116.

Almost surely, 2^103685000 is an apocalyptic number.

103685000 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 103685000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123358950).

103685000 is an abundant number, since it is smaller than the sum of its proper divisors (143032900).

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

103685000 is an equidigital number, since it uses as much as digits as its factorization.

103685000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 329 counting only the distinct ones).

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

The square root of 103685000 is about 10182.5831693142. The cubic root of 103685000 is about 469.7916686469.

It can be divided in two parts, 10368 and 5000, that multiplied together give a square (51840000 = 7200²).

The spelling of 103685000 in words is "one hundred three million, six hundred eighty-five thousand".