108003600 has 180 divisors, whose sum is σ = 394778800. Its totient is φ = 27267840.

The previous prime is 108003593. The next prime is 108003613. The reversal of 108003600 is 6300801.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×108003600² = 23329555225920000, which contains 22 as substring.

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

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 35 ways as a sum of consecutive naturals, for example, 67611 + ... + 69189.

Almost surely, 2^108003600 is an apocalyptic number.

108003600 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 108003600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197389400).

108003600 is an abundant number, since it is smaller than the sum of its proper divisors (286775200).

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

108003600 is a wasteful number, since it uses less digits than its factorization.

108003600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622 (or 1608 counting only the distinct ones).

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

The square root of 108003600 is about 10392.4780490507. The cubic root of 108003600 is about 476.2256068685.

It can be divided in two parts, 10800 and 3600, that added together give a square (14400 = 120²).

The spelling of 108003600 in words is "one hundred eight million, three thousand, six hundred".