103648505385681 has 45 divisors (see below), whose sum is σ = 155140023192363. Its totient is φ = 68962234844160.

The previous prime is 103648505385647. The next prime is 103648505385707. The reversal of 103648505385681 is 186583505846301.

The square root of 103648505385681 is 10180791.

It is a perfect power (a square), and thus also a powerful number.

103648505385681 is a `hidden beast` number, since 1 + 0 + 3 + 6 + 48 + 5 + 0 + 538 + 56 + 8 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 40550901825681 + 63097603560000 = 6367959^2 + 7943400^2 .

It is not a de Polignac number, because 103648505385681 - 2⁹ = 103648505385169 is a prime.

It is a super-2 number, since 2×103648505385681² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103648505185681) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 70461253776 + ... + 70461255246.

Almost surely, 2^{103648505385681} is an apocalyptic number.

103648505385681 is the 10180791-st square number.

103648505385681 is the 5090396-th centered octagonal number.

It is an amenable number.

103648505385681 is a deficient number, since it is larger than the sum of its proper divisors (51491517806682).

103648505385681 is an frugal number, since it uses more digits than its factorization.

103648505385681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4492 (or 2243 counting only the distinct ones).

The product of its (nonzero) digits is 82944000, while the sum is 63.

The spelling of 103648505385681 in words is "one hundred three trillion, six hundred forty-eight billion, five hundred five million, three hundred eighty-five thousand, six hundred eighty-one".