103671168 has 64 divisors (see below), whose sum is σ = 291593520. Its totient is φ = 32522240.

The previous prime is 103671157. The next prime is 103671179. The reversal of 103671168 is 861176301.

It is an interprime number because it is at equal distance from previous prime (103671157) and next prime (103671179).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×103671168² = 21495422148968448, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1413 + ... + 14468.

Almost surely, 2^103671168 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 103671168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145796760).

103671168 is an abundant number, since it is smaller than the sum of its proper divisors (187922352).

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

103671168 is a wasteful number, since it uses less digits than its factorization.

103671168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15915 (or 15903 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 103671168 is about 10181.9039476907. The cubic root of 103671168 is about 469.7707770125.

The spelling of 103671168 in words is "one hundred three million, six hundred seventy-one thousand, one hundred sixty-eight".