103638001 has 12 divisors (see below), whose sum is σ = 111258028. Its totient is φ = 96509952.

The previous prime is 103637971. The next prime is 103638011. The reversal of 103638001 is 100836301.

103638001 = 449² + 450² + ... + 737².

It can be written as a sum of positive squares in 6 ways, for example, as 87025 + 103550976 = 295^2 + 10176^2 .

It is a de Polignac number, because none of the positive numbers 2^k-103638001 is a prime.

It is a super-3 number, since 3×103638001³ (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103638011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26185 + ... + 29881.

Almost surely, 2^103638001 is an apocalyptic number.

It is an amenable number.

103638001 is a deficient number, since it is larger than the sum of its proper divisors (7620027).

103638001 is an equidigital number, since it uses as much as digits as its factorization.

103638001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3828 (or 3811 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 103638001 is about 10180.2750945149. The cubic root of 103638001 is about 469.7206745281.

The spelling of 103638001 in words is "one hundred three million, six hundred thirty-eight thousand, one".