103689936 has 160 divisors (see below), whose sum is σ = 360334080. Its totient is φ = 27869184.

The previous prime is 103689931. The next prime is 103689961. The reversal of 103689936 is 639986301.

It is a junction number, because it is equal to n+sod(n) for n = 103689891 and 103689900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103689931) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 50400 + ... + 52416.

It is an arithmetic number, because the mean of its divisors is an integer number (2252088).

Almost surely, 2^103689936 is an apocalyptic number.

103689936 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 103689936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180167040).

103689936 is an abundant number, since it is smaller than the sum of its proper divisors (256644144).

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

103689936 is a wasteful number, since it uses less digits than its factorization.

103689936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2058 (or 2046 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 103689936 is about 10182.8255410765. The cubic root of 103689936 is about 469.7991234535.

The spelling of 103689936 in words is "one hundred three million, six hundred eighty-nine thousand, nine hundred thirty-six".