103627903221 has 24 divisors (see below), whose sum is σ = 161480119320. Its totient is φ = 63794605056.

The previous prime is 103627903199. The next prime is 103627903231. The reversal of 103627903221 is 122309726301.

103627903221 is a `hidden beast` number, since 1 + 0 + 3 + 627 + 9 + 0 + 3 + 2 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19913160996 + 83714742225 = 141114^2 + 289335^2 .

It is not a de Polignac number, because 103627903221 - 2⁵ = 103627903189 is a prime.

It is a super-3 number, since 3×103627903221³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103627903231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6381576 + ... + 6397793.

It is an arithmetic number, because the mean of its divisors is an integer number (6728338305).

Almost surely, 2^103627903221 is an apocalyptic number.

It is an amenable number.

103627903221 is a deficient number, since it is larger than the sum of its proper divisors (57852216099).

103627903221 is a wasteful number, since it uses less digits than its factorization.

103627903221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12779445 (or 12779442 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 103627903221 in words is "one hundred three billion, six hundred twenty-seven million, nine hundred three thousand, two hundred twenty-one".