10120657 has 2 divisors, whose sum is σ = 10120658. Its totient is φ = 10120656.

The previous prime is 10120639. The next prime is 10120679. The reversal of 10120657 is 75602101.

It is an a-pointer prime, because the next prime (10120679) can be obtained adding 10120657 to its sum of digits (22).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9979281 + 141376 = 3159^2 + 376^2 .

It is a cyclic number.

It is not a de Polignac number, because 10120657 - 2¹¹ = 10118609 is a prime.

It is a super-2 number, since 2×10120657² = 204855396223298, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10120637) 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, 5060328 + 5060329.

It is an arithmetic number, because the mean of its divisors is an integer number (5060329).

Almost surely, 2^10120657 is an apocalyptic number.

It is an amenable number.

10120657 is a deficient number, since it is larger than the sum of its proper divisors (1).

10120657 is an equidigital number, since it uses as much as digits as its factorization.

10120657 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 22.

The square root of 10120657 is about 3181.2980055317. The cubic root of 10120657 is about 216.3064993206.

Adding to 10120657 its reverse (75602101), we get a palindrome (85722758).

The spelling of 10120657 in words is "ten million, one hundred twenty thousand, six hundred fifty-seven".