Search a number
-
+
106442657 is a prime number
BaseRepresentation
bin1100101100000…
…10111110100001
321102021211212122
412112002332201
5204222131112
614321234025
72431514306
oct626027641
9242254778
10106442657
11550a1a42
122b792915
131908b129
14101cb0ad
159528872
hex6582fa1

106442657 has 2 divisors, whose sum is σ = 106442658. Its totient is φ = 106442656.

The previous prime is 106442653. The next prime is 106442669. The reversal of 106442657 is 756244601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 106419856 + 22801 = 10316^2 + 151^2 .

It is a cyclic number.

It is not a de Polignac number, because 106442657 - 22 = 106442653 is a prime.

It is a super-2 number, since 2×1064426572 = 22660078458439298, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106442653) 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, 53221328 + 53221329.

It is an arithmetic number, because the mean of its divisors is an integer number (53221329).

Almost surely, 2106442657 is an apocalyptic number.

It is an amenable number.

106442657 is a deficient number, since it is larger than the sum of its proper divisors (1).

106442657 is an equidigital number, since it uses as much as digits as its factorization.

106442657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 106442657 is about 10317.1050687681. The cubic root of 106442657 is about 473.9202168886.

The spelling of 106442657 in words is "one hundred six million, four hundred forty-two thousand, six hundred fifty-seven".