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105959246245 = 548014414049
BaseRepresentation
bin110001010101110101…
…0011100100110100101
3101010111111000102021121
41202223222130212211
53214001031334440
6120402122213541
710440524506156
oct1425352344645
9333444012247
10105959246245
1140a34260aa6
12186516542b1
139cb8309858
1451b26a192d
152b524c234a
hex18aba9c9a5

105959246245 has 8 divisors (see below), whose sum is σ = 127177608600. Its totient is φ = 84749721600.

The previous prime is 105959246243. The next prime is 105959246251. The reversal of 105959246245 is 542642959501.

It can be written as a sum of positive squares in 4 ways, for example, as 3499077409 + 102460168836 = 59153^2 + 320094^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105959246245 - 21 = 105959246243 is a prime.

It is a super-2 number, since 2×1059592462452 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105959246192 and 105959246201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105959246243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2183020 + ... + 2231029.

It is an arithmetic number, because the mean of its divisors is an integer number (15897201075).

Almost surely, 2105959246245 is an apocalyptic number.

It is an amenable number.

105959246245 is a deficient number, since it is larger than the sum of its proper divisors (21218362355).

105959246245 is an equidigital number, since it uses as much as digits as its factorization.

105959246245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4418855.

The product of its (nonzero) digits is 3888000, while the sum is 52.

The spelling of 105959246245 in words is "one hundred five billion, nine hundred fifty-nine million, two hundred forty-six thousand, two hundred forty-five".

Divisors: 1 5 4801 24005 4414049 22070245 21191849249 105959246245