Search a number
-
+
107000657 is a prime number
BaseRepresentation
bin1100110000010…
…11001101010001
321110100012022022
412120023031101
5204343010112
614341221225
72436330161
oct630131521
9243305268
10107000657
11554431a5
122ba01815
13192250ca
14102d45a1
1595d8d72
hex660b351

107000657 has 2 divisors, whose sum is σ = 107000658. Its totient is φ = 107000656.

The previous prime is 107000653. The next prime is 107000701. The reversal of 107000657 is 756000701.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66601921 + 40398736 = 8161^2 + 6356^2 .

It is a cyclic number.

It is not a de Polignac number, because 107000657 - 22 = 107000653 is a prime.

It is a super-2 number, since 2×1070006572 = 22898281196863298, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (107000653) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53500328 + 53500329.

It is an arithmetic number, because the mean of its divisors is an integer number (53500329).

Almost surely, 2107000657 is an apocalyptic number.

It is an amenable number.

107000657 is a deficient number, since it is larger than the sum of its proper divisors (1).

107000657 is an equidigital number, since it uses as much as digits as its factorization.

107000657 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1470, while the sum is 26.

The square root of 107000657 is about 10344.1121900335. The cubic root of 107000657 is about 474.7469115266.

The spelling of 107000657 in words is "one hundred seven million, six hundred fifty-seven", and thus it is an aban number.