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105273873 = 3211697097
BaseRepresentation
bin1100100011001…
…01101000010001
321100002110121100
412101211220101
5203422230443
614240215013
72415545625
oct621455021
9240073540
10105273873
1154473901
122b30a469
1318a6c143
14dda5185
1593973d3
hex6465a11

105273873 has 6 divisors (see below), whose sum is σ = 152062274. Its totient is φ = 70182576.

The previous prime is 105273871. The next prime is 105273893. The reversal of 105273873 is 378372501.

It can be written as a sum of positive squares in only one way, i.e., 59954049 + 45319824 = 7743^2 + 6732^2 .

It is not a de Polignac number, because 105273873 - 21 = 105273871 is a prime.

It is a super-2 number, since 2×1052738732 = 22165176672840258, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105273871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5848540 + ... + 5848557.

Almost surely, 2105273873 is an apocalyptic number.

It is an amenable number.

105273873 is a deficient number, since it is larger than the sum of its proper divisors (46788401).

105273873 is a wasteful number, since it uses less digits than its factorization.

105273873 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11697103 (or 11697100 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 105273873 is about 10260.3056972003. The cubic root of 105273873 is about 472.1792162132.

It can be divided in two parts, 10527 and 3873, that added together give a square (14400 = 1202).

The spelling of 105273873 in words is "one hundred five million, two hundred seventy-three thousand, eight hundred seventy-three".

Divisors: 1 3 9 11697097 35091291 105273873