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105391341 = 3311734861
BaseRepresentation
bin1100100100000…
…10010011101101
321100022102202000
412102002103231
5203440010331
614242522513
72416545246
oct622022355
9240272660
10105391341
1154544090
122b366439
1318ab0753
14ddd5ccd
1593bc0e6
hex64824ed

105391341 has 32 divisors (see below), whose sum is σ = 172698240. Its totient is φ = 62985600.

The previous prime is 105391339. The next prime is 105391367. The reversal of 105391341 is 143193501.

It is not a de Polignac number, because 105391341 - 21 = 105391339 is a prime.

It is a super-2 number, since 2×1053913412 = 22214669515556562, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105391141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19251 + ... + 24111.

It is an arithmetic number, because the mean of its divisors is an integer number (5396820).

Almost surely, 2105391341 is an apocalyptic number.

105391341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105391341 is a deficient number, since it is larger than the sum of its proper divisors (67306899).

105391341 is a wasteful number, since it uses less digits than its factorization.

105391341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4954 (or 4948 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 105391341 is about 10266.0284920703. The cubic root of 105391341 is about 472.3547752230.

The spelling of 105391341 in words is "one hundred five million, three hundred ninety-one thousand, three hundred forty-one".

Divisors: 1 3 9 11 27 33 73 99 219 297 657 803 1971 2409 4861 7227 14583 21681 43749 53471 131247 160413 354853 481239 1064559 1443717 3193677 3903383 9581031 11710149 35130447 105391341