103609008 has 60 divisors (see below), whose sum is σ = 291707520. Its totient is φ = 34328448.

The previous prime is 103609007. The next prime is 103609019. The reversal of 103609008 is 800906301.

It is a super-3 number, since 3×103609008³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (103609003) 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 11 ways as a sum of consecutive naturals, for example, 22833 + ... + 26991.

It is an arithmetic number, because the mean of its divisors is an integer number (4861792).

Almost surely, 2^103609008 is an apocalyptic number.

103609008 is a gapful number since it is divisible by the number (18) 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 103609008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145853760).

103609008 is an abundant number, since it is smaller than the sum of its proper divisors (188098512).

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

103609008 is a wasteful number, since it uses less digits than its factorization.

103609008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4346 (or 4337 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 103609008 is about 10178.8510157090. The cubic root of 103609008 is about 469.6768685833.

The spelling of 103609008 in words is "one hundred three million, six hundred nine thousand, eight".