106401257 has 2 divisors, whose sum is σ = 106401258. Its totient is φ = 106401256.

The previous prime is 106401227. The next prime is 106401287. The reversal of 106401257 is 752104601.

It is a balanced prime because it is at equal distance from previous prime (106401227) and next prime (106401287).

It can be written as a sum of positive squares in only one way, i.e., 63616576 + 42784681 = 7976^2 + 6541^2 .

It is a cyclic number.

It is not a de Polignac number, because 106401257 - 2⁶ = 106401193 is a prime.

It is a super-2 number, since 2×106401257² = 22642454982360098, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (106401227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53200628 + 53200629.

It is an arithmetic number, because the mean of its divisors is an integer number (53200629).

Almost surely, 2^106401257 is an apocalyptic number.

It is an amenable number.

106401257 is a deficient number, since it is larger than the sum of its proper divisors (1).

106401257 is an equidigital number, since it uses as much as digits as its factorization.

106401257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 106401257 is about 10315.0984968637. The cubic root of 106401257 is about 473.8587664582.

Adding to 106401257 its reverse (752104601), we get a palindrome (858505858).

The spelling of 106401257 in words is "one hundred six million, four hundred one thousand, two hundred fifty-seven".