103661531505 has 48 divisors (see below), whose sum is σ = 205459363200. Its totient is φ = 47362558464.

The previous prime is 103661531503. The next prime is 103661531537. The reversal of 103661531505 is 505135166301.

103661531505 is a `hidden beast` number, since 1 + 0 + 3 + 6 + 615 + 31 + 5 + 0 + 5 = 666.

It is not a de Polignac number, because 103661531505 - 2¹ = 103661531503 is a prime.

It is a super-2 number, since 2×103661531505² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 103661531505.

It is not an unprimeable number, because it can be changed into a prime (103661531503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 502146 + ... + 677844.

It is an arithmetic number, because the mean of its divisors is an integer number (4280403400).

Almost surely, 2^103661531505 is an apocalyptic number.

103661531505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

103661531505 is a deficient number, since it is larger than the sum of its proper divisors (101797831695).

103661531505 is a wasteful number, since it uses less digits than its factorization.

103661531505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177590 (or 177587 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

Adding to 103661531505 its reverse (505135166301), we get a palindrome (608796697806).

The spelling of 103661531505 in words is "one hundred three billion, six hundred sixty-one million, five hundred thirty-one thousand, five hundred five".