103636960 has 72 divisors (see below), whose sum is σ = 284838120. Its totient is φ = 35529984.

The previous prime is 103636957. The next prime is 103636979. The reversal of 103636960 is 69636301.

It is a happy number.

It is a super-3 number, since 3×103636960³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1231 + ... + 14449.

It is an arithmetic number, because the mean of its divisors is an integer number (3956085).

Almost surely, 2^103636960 is an apocalyptic number.

103636960 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 103636960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142419060).

103636960 is an abundant number, since it is smaller than the sum of its proper divisors (181201160).

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

103636960 is a wasteful number, since it uses less digits than its factorization.

103636960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13248 (or 13233 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 34.

The square root of 103636960 is about 10180.2239661021. The cubic root of 103636960 is about 469.7191018075.

The spelling of 103636960 in words is "one hundred three million, six hundred thirty-six thousand, nine hundred sixty".