103680000 has 300 divisors, whose sum is σ = 386981595. Its totient is φ = 27648000.

The previous prime is 103679981. The next prime is 103680023. The reversal of 103680000 is 86301.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 23970816 + 79709184 = 4896^2 + 8928^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=7200.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 600 × 360 × 480.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 20735998 + ... + 20736002.

Almost surely, 2^103680000 is an apocalyptic number.

103680000 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 103680000

103680000 is an abundant number, since it is smaller than the sum of its proper divisors (283301595).

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

103680000 is an frugal number, since it uses more digits than its factorization.

103680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 103680000 is about 10182.3376490863. The cubic root of 103680000 is about 469.7841169403.

Multiplying 103680000 by its sum of digits (18), we get a square (1866240000 = 43200²).

103680000 divided by its sum of digits (18) gives a square (5760000 = 2400²).

The spelling of 103680000 in words is "one hundred three million, six hundred eighty thousand".