Search a number
-
+
105734367 = 3241286543
BaseRepresentation
bin1100100110101…
…10000011011111
321100221212021200
412103112003133
5204031444432
614254130543
72422504314
oct623260337
9240855250
10105734367
1154758882
122b4b0a53
1318ba091b
1410084d0b
159438a7c
hex64d60df

105734367 has 12 divisors (see below), whose sum is σ = 156453024. Its totient is φ = 68770080.

The previous prime is 105734359. The next prime is 105734383. The reversal of 105734367 is 763437501.

It is not a de Polignac number, because 105734367 - 23 = 105734359 is a prime.

It is a super-2 number, since 2×1057343672 = 22359512729781378, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105734327) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 142903 + ... + 143640.

It is an arithmetic number, because the mean of its divisors is an integer number (13037752).

Almost surely, 2105734367 is an apocalyptic number.

105734367 is a deficient number, since it is larger than the sum of its proper divisors (50718657).

105734367 is a wasteful number, since it uses less digits than its factorization.

105734367 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286590 (or 286587 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 105734367 is about 10282.7217700373. The cubic root of 105734367 is about 472.8666910786.

The spelling of 105734367 in words is "one hundred five million, seven hundred thirty-four thousand, three hundred sixty-seven".

Divisors: 1 3 9 41 123 369 286543 859629 2578887 11748263 35244789 105734367