100100107 has 2 divisors, whose sum is σ = 100100108. Its totient is φ = 100100106.

The previous prime is 100100089. The next prime is 100100111. The reversal of 100100107 is 701001001.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100100107 is a prime.

It is a super-2 number, since 2×100100107² = 20040062842822898, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100100093 and 100100102.

It is not a weakly prime, because it can be changed into another prime (100100197) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050053 + 50050054.

It is an arithmetic number, because the mean of its divisors is an integer number (50050054).

Almost surely, 2^100100107 is an apocalyptic number.

100100107 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100107 is an equidigital number, since it uses as much as digits as its factorization.

100100107 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7, while the sum is 10.

The square root of 100100107 is about 10005.0040979502. The cubic root of 100100107 is about 464.3137168842.

Adding to 100100107 its reverse (701001001), we get a palindrome (801101108).

The spelling of 100100107 in words is "one hundred million, one hundred thousand, one hundred seven".