103563606969 has 81 divisors (see below), whose sum is σ = 162061558477. Its totient is φ = 66175050816.

The previous prime is 103563606967. The next prime is 103563606973. The reversal of 103563606969 is 969606365301.

The square root of 103563606969 is 321813.

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

103563606969 is a `hidden beast` number, since 10 + 3 + 563 + 6 + 0 + 6 + 9 + 69 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1299242025 + 102264364944 = 36045^2 + 319788^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 103563606969 - 2¹ = 103563606967 is a prime.

It is a super-3 number, since 3×103563606969³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103563606967) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 755938669 + ... + 755938805.

Almost surely, 2^103563606969 is an apocalyptic number.

103563606969 is the 321813-rd square number.

103563606969 is the 160907-th centered octagonal number.

It is an amenable number.

103563606969 is a deficient number, since it is larger than the sum of its proper divisors (58497951508).

103563606969 is an frugal number, since it uses more digits than its factorization.

103563606969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 4723920, while the sum is 54.

The spelling of 103563606969 in words is "one hundred three billion, five hundred sixty-three million, six hundred six thousand, nine hundred sixty-nine".