Search a number
-
+
106533431 is a prime number
BaseRepresentation
bin1100101100110…
…01001000110111
321102110110101122
412112121020313
5204233032211
614323214155
72432343044
oct626311067
9242413348
10106533431
1155154164
122b81735b
13190c0544
14102121cb
1595456db
hex6599237

106533431 has 2 divisors, whose sum is σ = 106533432. Its totient is φ = 106533430.

The previous prime is 106533421. The next prime is 106533467. The reversal of 106533431 is 134335601.

It is a weak prime.

It is an emirp because it is prime and its reverse (134335601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106533431 - 210 = 106532407 is a prime.

It is a super-2 number, since 2×1065334312 = 22698743841263522, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is equal to p6115625 and since 106533431 and 6115625 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 106533431.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106533421) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53266715 + 53266716.

It is an arithmetic number, because the mean of its divisors is an integer number (53266716).

Almost surely, 2106533431 is an apocalyptic number.

106533431 is a deficient number, since it is larger than the sum of its proper divisors (1).

106533431 is an equidigital number, since it uses as much as digits as its factorization.

106533431 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3240, while the sum is 26.

The square root of 106533431 is about 10321.5033304262. The cubic root of 106533431 is about 474.0548978889.

The spelling of 106533431 in words is "one hundred six million, five hundred thirty-three thousand, four hundred thirty-one".