106257521 has 2 divisors, whose sum is σ = 106257522. Its totient is φ = 106257520.

The previous prime is 106257509. The next prime is 106257533. The reversal of 106257521 is 125752601.

It is a balanced prime because it is at equal distance from previous prime (106257509) and next prime (106257533).

It can be written as a sum of positive squares in only one way, i.e., 105678400 + 579121 = 10280^2 + 761^2 .

It is a cyclic number.

It is not a de Polignac number, because 106257521 - 2¹⁴ = 106241137 is a prime.

It is a super-2 number, since 2×106257521² = 22581321538130882, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (106257721) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53128760 + 53128761.

It is an arithmetic number, because the mean of its divisors is an integer number (53128761).

Almost surely, 2^106257521 is an apocalyptic number.

It is an amenable number.

106257521 is a deficient number, since it is larger than the sum of its proper divisors (1).

106257521 is an equidigital number, since it uses as much as digits as its factorization.

106257521 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4200, while the sum is 29.

The square root of 106257521 is about 10308.1288796755. The cubic root of 106257521 is about 473.6452938656.

The spelling of 106257521 in words is "one hundred six million, two hundred fifty-seven thousand, five hundred twenty-one".