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105353249 is a prime number
BaseRepresentation
bin1100100011110…
…01000000100001
321100020111111012
412101321000201
5203432300444
614242030305
72416326221
oct621710041
9240214435
10105353249
1154518501
122b348395
1318a99301
14ddc6081
1593b0b9e
hex6479021

105353249 has 2 divisors, whose sum is σ = 105353250. Its totient is φ = 105353248.

The previous prime is 105353207. The next prime is 105353251. The reversal of 105353249 is 942353501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 60730849 + 44622400 = 7793^2 + 6680^2 .

It is an emirp because it is prime and its reverse (942353501) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105353249 is a prime.

It is a super-2 number, since 2×1053532492 = 22198614149712002, which contains 22 as substring.

Together with 105353251, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105353299) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52676624 + 52676625.

It is an arithmetic number, because the mean of its divisors is an integer number (52676625).

Almost surely, 2105353249 is an apocalyptic number.

It is an amenable number.

105353249 is a deficient number, since it is larger than the sum of its proper divisors (1).

105353249 is an equidigital number, since it uses as much as digits as its factorization.

105353249 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16200, while the sum is 32.

The square root of 105353249 is about 10264.1730792110. The cubic root of 105353249 is about 472.2978600277.

The spelling of 105353249 in words is "one hundred five million, three hundred fifty-three thousand, two hundred forty-nine".