100305607 has 2 divisors, whose sum is σ = 100305608. Its totient is φ = 100305606.

The previous prime is 100305571. The next prime is 100305629. The reversal of 100305607 is 706503001.

It is an a-pointer prime, because the next prime (100305629) can be obtained adding 100305607 to its sum of digits (22).

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100305607 is a prime.

It is a super-2 number, since 2×100305607² = 20122429591276898, 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 (100305637) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50152803 + 50152804.

It is an arithmetic number, because the mean of its divisors is an integer number (50152804).

Almost surely, 2^100305607 is an apocalyptic number.

100305607 is a deficient number, since it is larger than the sum of its proper divisors (1).

100305607 is an equidigital number, since it uses as much as digits as its factorization.

100305607 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 630, while the sum is 22.

The square root of 100305607 is about 10015.2686933502. The cubic root of 100305607 is about 464.6312365190.

Adding to 100305607 its reverse (706503001), we get a palindrome (806808608).

The spelling of 100305607 in words is "one hundred million, three hundred five thousand, six hundred seven".