103616541 has 48 divisors (see below), whose sum is σ = 182747136. Its totient is φ = 55284768.

The previous prime is 103616533. The next prime is 103616543. The reversal of 103616541 is 145616301.

103616541 is a `hidden beast` number, since 1 + 0 + 3 + 6 + 1 + 654 + 1 = 666.

It is not a de Polignac number, because 103616541 - 2³ = 103616533 is a prime.

It is a super-3 number, since 3×103616541³ (a number of 25 digits) contains 333 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103616543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61476 + ... + 63138.

It is an arithmetic number, because the mean of its divisors is an integer number (3807232).

Almost surely, 2^103616541 is an apocalyptic number.

It is an amenable number.

103616541 is a deficient number, since it is larger than the sum of its proper divisors (79130595).

103616541 is a wasteful number, since it uses less digits than its factorization.

103616541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742 (or 1739 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 103616541 is about 10179.2210409245. The cubic root of 103616541 is about 469.6882510881.

The spelling of 103616541 in words is "one hundred three million, six hundred sixteen thousand, five hundred forty-one".