Search a number
-
+
107001457 is a prime number
BaseRepresentation
bin1100110000010…
…11011001110001
321110100020101221
412120023121301
5204343021312
614341225041
72436332413
oct630133161
9243306357
10107001457
1155443862
122ba02181
1319225594
14102d49b3
1595d9207
hex660b671

107001457 has 2 divisors, whose sum is σ = 107001458. Its totient is φ = 107001456.

The previous prime is 107001449. The next prime is 107001481. The reversal of 107001457 is 754100701.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84713616 + 22287841 = 9204^2 + 4721^2 .

It is a cyclic number.

It is not a de Polignac number, because 107001457 - 23 = 107001449 is a prime.

It is a super-2 number, since 2×1070014572 = 22898623600245698, which contains 22 as substring.

It is equal to p6140914 and since 107001457 and 6140914 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (107001487) 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, 53500728 + 53500729.

It is an arithmetic number, because the mean of its divisors is an integer number (53500729).

Almost surely, 2107001457 is an apocalyptic number.

It is an amenable number.

107001457 is a deficient number, since it is larger than the sum of its proper divisors (1).

107001457 is an equidigital number, since it uses as much as digits as its factorization.

107001457 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 980, while the sum is 25.

The square root of 107001457 is about 10344.1508593021. The cubic root of 107001457 is about 474.7480946863.

The spelling of 107001457 in words is "one hundred seven million, one thousand, four hundred fifty-seven".