103685568 has 168 divisors, whose sum is σ = 325233792. Its totient is φ = 29062656.

The previous prime is 103685557. The next prime is 103685579. The reversal of 103685568 is 865586301.

It is an interprime number because it is at equal distance from previous prime (103685557) and next prime (103685579).

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×103685568² = 21501394022965248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 968971 + ... + 969077.

Almost surely, 2^103685568 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 103685568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162616896).

103685568 is an abundant number, since it is smaller than the sum of its proper divisors (221548224).

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

103685568 is a wasteful number, since it uses less digits than its factorization.

103685568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 103685568 is about 10182.6110600376. The cubic root of 103685568 is about 469.7925265054.

The spelling of 103685568 in words is "one hundred three million, six hundred eighty-five thousand, five hundred sixty-eight".