103997347972281 has 45 divisors (see below), whose sum is σ = 165032570623261. Its totient is φ = 65252258944128.

The previous prime is 103997347972229. The next prime is 103997347972321. The reversal of 103997347972281 is 182279743799301.

The square root of 103997347972281 is 10197909.

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

103997347972281 is a `hidden beast` number, since 1 + 0 + 3 + 9 + 9 + 7 + 3 + 479 + 72 + 2 + 81 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18919968384681 + 85077379587600 = 4349709^2 + 9223740^2 .

It is not a de Polignac number, because 103997347972281 - 2²³ = 103997339583673 is a prime.

It is a super-3 number, since 3×103997347972281³ (a number of 43 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 (103997347972211) 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, 1560246751 + ... + 1560313403.

Almost surely, 2^{103997347972281} is an apocalyptic number.

103997347972281 is the 10197909-th square number.

103997347972281 is the 5098955-th centered octagonal number.

It is an amenable number.

103997347972281 is a deficient number, since it is larger than the sum of its proper divisors (61035222650980).

103997347972281 is an frugal number, since it uses more digits than its factorization.

103997347972281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133352 (or 66673 counting only the distinct ones).

The product of its (nonzero) digits is 288054144, while the sum is 72.

The spelling of 103997347972281 in words is "one hundred three trillion, nine hundred ninety-seven billion, three hundred forty-seven million, nine hundred seventy-two thousand, two hundred eighty-one".