Search a number
-
+
105437119 is a prime number
BaseRepresentation
bin1100100100011…
…01011110111111
321100101202112111
412102031132333
5203442441434
614243514451
72420125564
oct622153677
9240352474
10105437119
1154575517
122b388a27
1318ac8538
141000886b
1593ca964
hex648d7bf

105437119 has 2 divisors, whose sum is σ = 105437120. Its totient is φ = 105437118.

The previous prime is 105437093. The next prime is 105437131. The reversal of 105437119 is 911734501.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105437119 is a prime.

It is a super-2 number, since 2×1054371192 = 22233972126040322, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105437149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52718559 + 52718560.

It is an arithmetic number, because the mean of its divisors is an integer number (52718560).

Almost surely, 2105437119 is an apocalyptic number.

105437119 is a deficient number, since it is larger than the sum of its proper divisors (1).

105437119 is an equidigital number, since it uses as much as digits as its factorization.

105437119 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3780, while the sum is 31.

The square root of 105437119 is about 10268.2578366537. The cubic root of 105437119 is about 472.4231563210.

The spelling of 105437119 in words is "one hundred five million, four hundred thirty-seven thousand, one hundred nineteen".