Search a number
-
+
106657819 is a prime number
BaseRepresentation
bin1100101101101…
…11100000011011
321102200210000121
412112313200123
5204301022234
614330014111
72433401512
oct626674033
9242623017
10106657819
1155229664
122b877337
1319135048
1410245679
15956c4b4
hex65b781b

106657819 has 2 divisors, whose sum is σ = 106657820. Its totient is φ = 106657818.

The previous prime is 106657777. The next prime is 106657841. The reversal of 106657819 is 918756601.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106657819 is a prime.

It is a super-2 number, since 2×1066578192 = 22751780707673522, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106657319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53328909 + 53328910.

It is an arithmetic number, because the mean of its divisors is an integer number (53328910).

Almost surely, 2106657819 is an apocalyptic number.

106657819 is a deficient number, since it is larger than the sum of its proper divisors (1).

106657819 is an equidigital number, since it uses as much as digits as its factorization.

106657819 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 90720, while the sum is 43.

The square root of 106657819 is about 10327.5272451831. The cubic root of 106657819 is about 474.2393276501.

It can be divided in two parts, 1066 and 57819, that added together give a palindrome (58885).

The spelling of 106657819 in words is "one hundred six million, six hundred fifty-seven thousand, eight hundred nineteen".