106272007 has 2 divisors, whose sum is σ = 106272008. Its totient is φ = 106272006.

The previous prime is 106271993. The next prime is 106272011. The reversal of 106272007 is 700272601.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-106272007 is a prime.

It is a super-2 number, since 2×106272007² = 22587478943616098, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106272097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53136003 + 53136004.

It is an arithmetic number, because the mean of its divisors is an integer number (53136004).

Almost surely, 2^106272007 is an apocalyptic number.

106272007 is a deficient number, since it is larger than the sum of its proper divisors (1).

106272007 is an equidigital number, since it uses as much as digits as its factorization.

106272007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1176, while the sum is 25.

The square root of 106272007 is about 10308.8315050737. The cubic root of 106272007 is about 473.6668167780. Note that the first 3 decimals are identical.

The spelling of 106272007 in words is "one hundred six million, two hundred seventy-two thousand, seven".