103568640 has 144 divisors (see below), whose sum is σ = 378123648. Its totient is φ = 23666688.

The previous prime is 103568629. The next prime is 103568651. The reversal of 103568640 is 46865301.

It is an interprime number because it is at equal distance from previous prime (103568629) and next prime (103568651).

It is a super-3 number, since 3×103568640³ (a number of 25 digits) contains 333 as substring.

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, 24954 + ... + 28806.

Almost surely, 2^103568640 is an apocalyptic number.

103568640 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 103568640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189061824).

103568640 is an abundant number, since it is smaller than the sum of its proper divisors (274555008).

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

103568640 is an equidigital number, since it uses as much as digits as its factorization.

103568640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3884 (or 3870 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 103568640 is about 10176.8678875182. The cubic root of 103568640 is about 469.6158623731.

The spelling of 103568640 in words is "one hundred three million, five hundred sixty-eight thousand, six hundred forty".