103624116 has 48 divisors (see below), whose sum is σ = 250483968. Its totient is φ = 33321600.

The previous prime is 103624111. The next prime is 103624117. The reversal of 103624116 is 611426301.

It is a super-3 number, since 3×103624116³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103624111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37461 + ... + 40131.

It is an arithmetic number, because the mean of its divisors is an integer number (5218416).

Almost surely, 2^103624116 is an apocalyptic number.

It is an amenable number.

103624116 is an abundant number, since it is smaller than the sum of its proper divisors (146859852).

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

103624116 is a wasteful number, since it uses less digits than its factorization.

103624116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2792 (or 2790 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 103624116 is about 10179.5931156407. The cubic root of 103624116 is about 469.6996964995.

It can be divided in two parts, 103624 and 116, that added together give a triangular number (103740 = T₄₅₅).

The spelling of 103624116 in words is "one hundred three million, six hundred twenty-four thousand, one hundred sixteen".