105003389 has 2 divisors, whose sum is σ = 105003390. Its totient is φ = 105003388.

The previous prime is 105003361. The next prime is 105003401. The reversal of 105003389 is 983300501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76562500 + 28440889 = 8750^2 + 5333^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105003389 is a prime.

It is a super-2 number, since 2×105003389² = 22051423402970642, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105003889) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52501694 + 52501695.

It is an arithmetic number, because the mean of its divisors is an integer number (52501695).

Almost surely, 2^105003389 is an apocalyptic number.

It is an amenable number.

105003389 is a deficient number, since it is larger than the sum of its proper divisors (1).

105003389 is an equidigital number, since it uses as much as digits as its factorization.

105003389 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 105003389 is about 10247.1161308926. The cubic root of 105003389 is about 471.7744736167.

The spelling of 105003389 in words is "one hundred five million, three thousand, three hundred eighty-nine".