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105020144 = 2419345461
BaseRepresentation
bin1100100001001…
…11101011110000
321022121120112222
412100213223300
5203341121034
614230540212
72413441115
oct620475360
9238546488
10105020144
1154310209
122b207668
13189b07c8
14dd3a90c
15934712e
hex6427af0

105020144 has 20 divisors (see below), whose sum is σ = 214186440. Its totient is φ = 49746240.

The previous prime is 105020143. The next prime is 105020173. The reversal of 105020144 is 441020501.

It is a super-2 number, since 2×1050201442 = 22058461291561472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105020143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 172427 + ... + 173034.

It is an arithmetic number, because the mean of its divisors is an integer number (10709322).

Almost surely, 2105020144 is an apocalyptic number.

It is an amenable number.

105020144 is an abundant number, since it is smaller than the sum of its proper divisors (109166296).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105020144 is a wasteful number, since it uses less digits than its factorization.

105020144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345488 (or 345482 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 105020144 is about 10247.9336453746. The cubic root of 105020144 is about 471.7995653811.

Adding to 105020144 its reverse (441020501), we get a palindrome (546040645).

The spelling of 105020144 in words is "one hundred five million, twenty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 19 38 76 152 304 345461 690922 1381844 2763688 5527376 6563759 13127518 26255036 52510072 105020144