Search a number
-
+
106097429 is a prime number
BaseRepresentation
bin1100101001011…
…10101100010101
321101122022022102
412110232230111
5204130104204
614310011445
72425545644
oct624565425
9241568272
10106097429
1154986629
122b646b85
1318c99c59
141013b35b
1594ab41e
hex652eb15

106097429 has 2 divisors, whose sum is σ = 106097430. Its totient is φ = 106097428.

The previous prime is 106097419. The next prime is 106097443. The reversal of 106097429 is 924790601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 59830225 + 46267204 = 7735^2 + 6802^2 .

It is a cyclic number.

It is not a de Polignac number, because 106097429 - 224 = 89320213 is a prime.

It is a super-2 number, since 2×1060974292 = 22513328880820082, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 106097392 and 106097401.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106097419) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53048714 + 53048715.

It is an arithmetic number, because the mean of its divisors is an integer number (53048715).

Almost surely, 2106097429 is an apocalyptic number.

It is an amenable number.

106097429 is a deficient number, since it is larger than the sum of its proper divisors (1).

106097429 is an equidigital number, since it uses as much as digits as its factorization.

106097429 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27216, while the sum is 38.

The square root of 106097429 is about 10300.3606247548. The cubic root of 106097429 is about 473.4073030710.

It can be divided in two parts, 1060 and 97429, that added together give a palindrome (98489).

The spelling of 106097429 in words is "one hundred six million, ninety-seven thousand, four hundred twenty-nine".