100003361 has 2 divisors, whose sum is σ = 100003362. Its totient is φ = 100003360.

The previous prime is 100003349. The next prime is 100003381. The reversal of 100003361 is 163300001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 56851600 + 43151761 = 7540^2 + 6569^2 .

It is a cyclic number.

It is not a de Polignac number, because 100003361 - 2¹⁰ = 100002337 is a prime.

It is a super-2 number, since 2×100003361² = 20001344422592642, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (100003301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50001680 + 50001681.

It is an arithmetic number, because the mean of its divisors is an integer number (50001681).

Almost surely, 2^100003361 is an apocalyptic number.

It is an amenable number.

100003361 is a deficient number, since it is larger than the sum of its proper divisors (1).

100003361 is an equidigital number, since it uses as much as digits as its factorization.

100003361 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 100003361 is about 10000.1680485880. The cubic root of 100003361 is about 464.1640834297.

Adding to 100003361 its reverse (163300001), we get a palindrome (263303362).

The spelling of 100003361 in words is "one hundred million, three thousand, three hundred sixty-one".