106157021 has 2 divisors, whose sum is σ = 106157022. Its totient is φ = 106157020.

The previous prime is 106157003. The next prime is 106157041. The reversal of 106157021 is 120751601.

106157021 = 7285² + 7286².

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 53085796 + 53071225 = 7286^2 + 7285^2 .

It is a cyclic number.

It is not a de Polignac number, because 106157021 - 2⁶ = 106156957 is a prime.

It is a super-2 number, since 2×106157021² = 22538626215188882, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106157041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53078510 + 53078511.

It is an arithmetic number, because the mean of its divisors is an integer number (53078511).

Almost surely, 2^106157021 is an apocalyptic number.

106157021 is the 7286-th centered square number.

It is an amenable number.

106157021 is a deficient number, since it is larger than the sum of its proper divisors (1).

106157021 is an equidigital number, since it uses as much as digits as its factorization.

106157021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 420, while the sum is 23.

The square root of 106157021 is about 10303.2529329334. The cubic root of 106157021 is about 473.4959197575.

The spelling of 106157021 in words is "one hundred six million, one hundred fifty-seven thousand, twenty-one".