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106202023849 is a prime number
BaseRepresentation
bin110001011101000100…
…0100100011110101001
3101011010101211210112201
41202322020210132221
53220000204230344
6120442153540201
710446533210455
oct1427210443651
9334111753481
10106202023849
1141049301449
12186baa14661
13a0266c0a3c
1451d6a1b665
152b6897b4d4
hex18ba2247a9

106202023849 has 2 divisors, whose sum is σ = 106202023850. Its totient is φ = 106202023848.

The previous prime is 106202023813. The next prime is 106202023859. The reversal of 106202023849 is 948320202601.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81734807449 + 24467216400 = 285893^2 + 156420^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106202023849 is a prime.

It is a super-2 number, since 2×1062020238492 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106202023859) 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, 53101011924 + 53101011925.

It is an arithmetic number, because the mean of its divisors is an integer number (53101011925).

Almost surely, 2106202023849 is an apocalyptic number.

It is an amenable number.

106202023849 is a deficient number, since it is larger than the sum of its proper divisors (1).

106202023849 is an equidigital number, since it uses as much as digits as its factorization.

106202023849 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 106202023849 in words is "one hundred six billion, two hundred two million, twenty-three thousand, eight hundred forty-nine".