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105608449 is a prime number
BaseRepresentation
bin1100100101101…
…11010100000001
321100201110120001
412102313110001
5204013432244
614251320001
72421441232
oct622672401
9240643501
10105608449
1154682211
122b450001
1318b5850b
1410051089
1594115d4
hex64b7501

105608449 has 2 divisors, whose sum is σ = 105608450. Its totient is φ = 105608448.

The previous prime is 105608431. The next prime is 105608467. The reversal of 105608449 is 944806501.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (105608431) and next prime (105608467).

It can be written as a sum of positive squares in only one way, i.e., 91680625 + 13927824 = 9575^2 + 3732^2 .

It is a cyclic number.

It is not a de Polignac number, because 105608449 - 217 = 105477377 is a prime.

It is a super-2 number, since 2×1056084492 = 22306289000371202, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105608149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52804224 + 52804225.

It is an arithmetic number, because the mean of its divisors is an integer number (52804225).

Almost surely, 2105608449 is an apocalyptic number.

It is an amenable number.

105608449 is a deficient number, since it is larger than the sum of its proper divisors (1).

105608449 is an equidigital number, since it uses as much as digits as its factorization.

105608449 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 105608449 is about 10276.5971508082. The cubic root of 105608449 is about 472.6789057775.

The spelling of 105608449 in words is "one hundred five million, six hundred eight thousand, four hundred forty-nine".