Search a number
-
+
107664509 is a prime number
BaseRepresentation
bin1100110101011…
…01010001111101
321111120220221102
412122231101331
5210030231014
614403342445
72445063461
oct632552175
9244526842
10107664509
1155856a37
1230081a25
13193c8314
14104284a1
1596ba8de
hex66ad47d

107664509 has 2 divisors, whose sum is σ = 107664510. Its totient is φ = 107664508.

The previous prime is 107664503. The next prime is 107664517. The reversal of 107664509 is 905466701.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73908409 + 33756100 = 8597^2 + 5810^2 .

It is a cyclic number.

It is not a de Polignac number, because 107664509 - 24 = 107664493 is a prime.

It is a super-2 number, since 2×1076645092 = 23183292996422162, which contains 22 as substring.

It is equal to p6176891 and since 107664509 and 6176891 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (107664503) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53832254 + 53832255.

It is an arithmetic number, because the mean of its divisors is an integer number (53832255).

Almost surely, 2107664509 is an apocalyptic number.

It is an amenable number.

107664509 is a deficient number, since it is larger than the sum of its proper divisors (1).

107664509 is an equidigital number, since it uses as much as digits as its factorization.

107664509 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 45360, while the sum is 38.

The square root of 107664509 is about 10376.1509723018. The cubic root of 107664509 is about 475.7266941400.

The spelling of 107664509 in words is "one hundred seven million, six hundred sixty-four thousand, five hundred nine".