103867008 has 128 divisors (see below), whose sum is σ = 334005120. Its totient is φ = 27918336.

The previous prime is 103866949. The next prime is 103867013. The reversal of 103867008 is 800768301.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-4 number, since 4×103867008⁴ (a number of 33 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 103867008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44560 + ... + 46832.

It is an arithmetic number, because the mean of its divisors is an integer number (2609415).

Almost surely, 2^103867008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103867008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167002560).

103867008 is an abundant number, since it is smaller than the sum of its proper divisors (230138112).

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

103867008 is a wasteful number, since it uses less digits than its factorization.

103867008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2314 (or 2302 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 103867008 is about 10191.5164720467. The cubic root of 103867008 is about 470.0663977418.

The spelling of 103867008 in words is "one hundred three million, eight hundred sixty-seven thousand, eight".