Search a number
-
+
107637269 is a prime number
BaseRepresentation
bin1100110101001…
…10101000010101
321111112112120112
412122212220111
5210023343034
614403012405
72444621165
oct632465025
9244475515
10107637269
1155838523
123006a105
13193b8abc
141041c5a5
1596b27ce
hex66a6a15

107637269 has 2 divisors, whose sum is σ = 107637270. Its totient is φ = 107637268.

The previous prime is 107637253. The next prime is 107637281. The reversal of 107637269 is 962736701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96334225 + 11303044 = 9815^2 + 3362^2 .

It is an emirp because it is prime and its reverse (962736701) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 107637269 - 24 = 107637253 is a prime.

It is a super-2 number, since 2×1076372692 = 23171563355556722, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (107637289) 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, 53818634 + 53818635.

It is an arithmetic number, because the mean of its divisors is an integer number (53818635).

Almost surely, 2107637269 is an apocalyptic number.

It is an amenable number.

107637269 is a deficient number, since it is larger than the sum of its proper divisors (1).

107637269 is an equidigital number, since it uses as much as digits as its factorization.

107637269 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 95256, while the sum is 41.

The square root of 107637269 is about 10374.8382637996. The cubic root of 107637269 is about 475.6865698430.

The spelling of 107637269 in words is "one hundred seven million, six hundred thirty-seven thousand, two hundred sixty-nine".