106272937 has 2 divisors, whose sum is σ = 106272938. Its totient is φ = 106272936.

The previous prime is 106272923. The next prime is 106272961. The reversal of 106272937 is 739272601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75846681 + 30426256 = 8709^2 + 5516^2 .

It is a cyclic number.

It is not a de Polignac number, because 106272937 - 2⁷ = 106272809 is a prime.

It is a super-2 number, since 2×106272937² = 22587874277211938, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 106272896 and 106272905.

It is not a weakly prime, because it can be changed into another prime (106272977) 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, 53136468 + 53136469.

It is an arithmetic number, because the mean of its divisors is an integer number (53136469).

Almost surely, 2^106272937 is an apocalyptic number.

It is an amenable number.

106272937 is a deficient number, since it is larger than the sum of its proper divisors (1).

106272937 is an equidigital number, since it uses as much as digits as its factorization.

106272937 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31752, while the sum is 37.

The square root of 106272937 is about 10308.8766119301. The cubic root of 106272937 is about 473.6681984804.

The spelling of 106272937 in words is "one hundred six million, two hundred seventy-two thousand, nine hundred thirty-seven".