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105042024205 = 5531119735401
BaseRepresentation
bin110000111010011111…
…1100001011100001101
3101001010120002201011221
41201310333201130031
53210111224233310
6120131115043341
710406016321346
oct1416477413415
9331116081157
10105042024205
1140603536558
1218436440551
139ba0293311
1451269410cd
152aebbe2ada
hex1874fe170d

105042024205 has 16 divisors (see below), whose sum is σ = 128443837104. Its totient is φ = 82438387200.

The previous prime is 105042024193. The next prime is 105042024209. The reversal of 105042024205 is 502420240501.

It can be written as a sum of positive squares in 8 ways, for example, as 6984112041 + 98057912164 = 83571^2 + 313142^2 .

It is not a de Polignac number, because 105042024205 - 211 = 105042022157 is a prime.

It is a super-2 number, since 2×1050420242052 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105042024205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105042024209) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2949505 + ... + 2984905.

It is an arithmetic number, because the mean of its divisors is an integer number (8027739819).

Almost surely, 2105042024205 is an apocalyptic number.

It is an amenable number.

105042024205 is a deficient number, since it is larger than the sum of its proper divisors (23401812899).

105042024205 is a wasteful number, since it uses less digits than its factorization.

105042024205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46656.

The product of its (nonzero) digits is 3200, while the sum is 25.

Adding to 105042024205 its reverse (502420240501), we get a palindrome (607462264706).

The spelling of 105042024205 in words is "one hundred five billion, forty-two million, twenty-four thousand, two hundred five".

Divisors: 1 5 53 265 11197 35401 55985 177005 593441 1876253 2967205 9381265 396384997 1981924985 21008404841 105042024205