103689000 has 192 divisors, whose sum is σ = 360294480. Its totient is φ = 26880000.

The previous prime is 103688993. The next prime is 103689011. The reversal of 103689000 is 986301.

It can be written as a sum of positive squares in 8 ways, for example, as 15876 + 103673124 = 126^2 + 10182^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 368860 + ... + 369140.

Almost surely, 2^103689000 is an apocalyptic number.

103689000 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 103689000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180147240).

103689000 is an abundant number, since it is smaller than the sum of its proper divisors (256605480).

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

103689000 is a wasteful number, since it uses less digits than its factorization.

103689000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 103689000 is about 10182.7795812342. The cubic root of 103689000 is about 469.7977098374.

The spelling of 103689000 in words is "one hundred three million, six hundred eighty-nine thousand".