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105047239 = 1122932963
BaseRepresentation
bin1100100001011…
…10010011000111
321022122221201111
412100232103013
5203343002424
614231305451
72413613113
oct620562307
9238587644
10105047239
1154329600
122b21b287
13189bcc3b
14dd46743
159350194
hex642e4c7

105047239 has 12 divisors (see below), whose sum is σ = 115898328. Its totient is φ = 95139440.

The previous prime is 105047231. The next prime is 105047249. The reversal of 105047239 is 932740501.

It is not a de Polignac number, because 105047239 - 23 = 105047231 is a prime.

It is a super-2 number, since 2×1050472392 = 22069844843046242, which 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 105047239.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105047231) 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 11 ways as a sum of consecutive naturals, for example, 33972 + ... + 36934.

It is an arithmetic number, because the mean of its divisors is an integer number (9658194).

Almost surely, 2105047239 is an apocalyptic number.

105047239 is a deficient number, since it is larger than the sum of its proper divisors (10851089).

105047239 is a wasteful number, since it uses less digits than its factorization.

105047239 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3278 (or 3267 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 105047239 is about 10249.2555339400. The cubic root of 105047239 is about 471.8401363597.

The spelling of 105047239 in words is "one hundred five million, forty-seven thousand, two hundred thirty-nine".

Divisors: 1 11 121 293 2963 3223 32593 35453 358523 868159 9549749 105047239