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105141931 is a prime number
BaseRepresentation
bin1100100010001…
…01011010101011
321022211202121121
412101011122223
5203404020211
614233320111
72414456146
oct621053253
9238752547
10105141931
1154393764
122b266037
1318a2407b
14dd6d05d
15936d271
hex64456ab

105141931 has 2 divisors, whose sum is σ = 105141932. Its totient is φ = 105141930.

The previous prime is 105141929. The next prime is 105141977. The reversal of 105141931 is 139141501.

It is a weak prime.

It is an emirp because it is prime and its reverse (139141501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105141931 - 21 = 105141929 is a prime.

It is a super-2 number, since 2×1051419312 = 22109651308817522, which contains 22 as substring.

Together with 105141929, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 105141896 and 105141905.

It is not a weakly prime, because it can be changed into another prime (105141331) 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, 52570965 + 52570966.

It is an arithmetic number, because the mean of its divisors is an integer number (52570966).

Almost surely, 2105141931 is an apocalyptic number.

105141931 is a deficient number, since it is larger than the sum of its proper divisors (1).

105141931 is an equidigital number, since it uses as much as digits as its factorization.

105141931 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 540, while the sum is 25.

The square root of 105141931 is about 10253.8739508539. The cubic root of 105141931 is about 471.9818696354.

The spelling of 105141931 in words is "one hundred five million, one hundred forty-one thousand, nine hundred thirty-one".