103640616 has 48 divisors (see below), whose sum is σ = 282447360. Its totient is φ = 34331040.

The previous prime is 103640609. The next prime is 103640623. The reversal of 103640616 is 616046301.

103640616 is a `hidden beast` number, since 1 + 0 + 3 + 6 + 40 + 616 = 666.

It is an interprime number because it is at equal distance from previous prime (103640609) and next prime (103640623).

It is a super-3 number, since 3×103640616³ (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 103640616.

It is an unprimeable number.

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, 7321 + ... + 16151.

It is an arithmetic number, because the mean of its divisors is an integer number (5884320).

Almost surely, 2^103640616 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 103640616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141223680).

103640616 is an abundant number, since it is smaller than the sum of its proper divisors (178806744).

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

103640616 is a wasteful number, since it uses less digits than its factorization.

103640616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9006 (or 8999 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 103640616 is about 10180.4035283480. The cubic root of 103640616 is about 469.7246251679.

Adding to 103640616 its reverse (616046301), we get a palindrome (719686917).

The spelling of 103640616 in words is "one hundred three million, six hundred forty thousand, six hundred sixteen".