106300657 has 2 divisors, whose sum is σ = 106300658. Its totient is φ = 106300656.

The previous prime is 106300639. The next prime is 106300661. The reversal of 106300657 is 756003601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91853056 + 14447601 = 9584^2 + 3801^2 .

It is a cyclic number.

It is not a de Polignac number, because 106300657 - 2²³ = 97912049 is a prime.

It is a super-2 number, since 2×106300657² = 22599659357263298, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106300627) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53150328 + 53150329.

It is an arithmetic number, because the mean of its divisors is an integer number (53150329).

Almost surely, 2^106300657 is an apocalyptic number.

It is an amenable number.

106300657 is a deficient number, since it is larger than the sum of its proper divisors (1).

106300657 is an equidigital number, since it uses as much as digits as its factorization.

106300657 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 106300657 is about 10310.2209966615. The cubic root of 106300657 is about 473.7093784251.

It can be divided in two parts, 106 and 300657, that added together give a cube (300763 = 67³).

The spelling of 106300657 in words is "one hundred six million, three hundred thousand, six hundred fifty-seven".