103563656541 has 14 divisors (see below), whose sum is σ = 155274454590. Its totient is φ = 69042437208.

The previous prime is 103563656533. The next prime is 103563656543. The reversal of 103563656541 is 145656365301.

It is a happy number.

103563656541 is a `hidden beast` number, since 1 + 0 + 3 + 5 + 636 + 5 + 6 + 5 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 95958072441 + 7605584100 = 309771^2 + 87210^2 .

It is not a de Polignac number, because 103563656541 - 2³ = 103563656533 is a prime.

It is a super-3 number, since 3×103563656541³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103563656543) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 71030586 + ... + 71032043.

Almost surely, 2^103563656541 is an apocalyptic number.

It is an amenable number.

103563656541 is a deficient number, since it is larger than the sum of its proper divisors (51710798049).

103563656541 is an frugal number, since it uses more digits than its factorization.

103563656541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142062647 (or 142062632 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 103563656541 in words is "one hundred three billion, five hundred sixty-three million, six hundred fifty-six thousand, five hundred forty-one".