100105007 has 2 divisors, whose sum is σ = 100105008. Its totient is φ = 100105006.

The previous prime is 100105003. The next prime is 100105009. The reversal of 100105007 is 700501001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100105007 - 2² = 100105003 is a prime.

Together with 100105009, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 100104982 and 100105000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100105001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50052503 + 50052504.

It is an arithmetic number, because the mean of its divisors is an integer number (50052504).

Almost surely, 2^100105007 is an apocalyptic number.

100105007 is a deficient number, since it is larger than the sum of its proper divisors (1).

100105007 is an equidigital number, since it uses as much as digits as its factorization.

100105007 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 35, while the sum is 14.

The square root of 100105007 is about 10005.2489724144. The cubic root of 100105007 is about 464.3212929669.

Adding to 100105007 its reverse (700501001), we get a palindrome (800606008).

The spelling of 100105007 in words is "one hundred million, one hundred five thousand, seven".