103686240 has 96 divisors (see below), whose sum is σ = 373282560. Its totient is φ = 23698944.

The previous prime is 103686203. The next prime is 103686241. The reversal of 103686240 is 42686301.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 103686198 and 103686207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103686241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12070 + ... + 18789.

It is an arithmetic number, because the mean of its divisors is an integer number (3888360).

Almost surely, 2^103686240 is an apocalyptic number.

103686240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103686240 is an abundant number, since it is smaller than the sum of its proper divisors (269596320).

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

103686240 is a wasteful number, since it uses less digits than its factorization.

103686240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30884 (or 30876 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 103686240 is about 10182.6440574146. The cubic root of 103686240 is about 469.7935414326.

The spelling of 103686240 in words is "one hundred three million, six hundred eighty-six thousand, two hundred forty".