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105748065 = 3352927011
BaseRepresentation
bin1100100110110…
…01011001100001
321100222120002000
412103121121201
5204032414230
614254314213
72422562253
oct623313141
9240876060
10105748065
11547680a5
122b4b8969
1318ba6c27
1410089cd3
15943cb60
hex64d9661

105748065 has 32 divisors (see below), whose sum is σ = 194486400. Its totient is φ = 54452160.

The previous prime is 105748021. The next prime is 105748067. The reversal of 105748065 is 560847501.

105748065 is a `hidden beast` number, since 1 + 0 + 574 + 80 + 6 + 5 = 666.

It is not a de Polignac number, because 105748065 - 213 = 105739873 is a prime.

It is a super-2 number, since 2×1057480652 = 22365306502488450, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (105748067) 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 31 ways as a sum of consecutive naturals, for example, 9591 + ... + 17420.

It is an arithmetic number, because the mean of its divisors is an integer number (6077700).

Almost surely, 2105748065 is an apocalyptic number.

105748065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105748065 is a deficient number, since it is larger than the sum of its proper divisors (88738335).

105748065 is a wasteful number, since it uses less digits than its factorization.

105748065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27054 (or 27048 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 105748065 is about 10283.3878172517. The cubic root of 105748065 is about 472.8871103248.

The spelling of 105748065 in words is "one hundred five million, seven hundred forty-eight thousand, sixty-five".

Divisors: 1 3 5 9 15 27 29 45 87 135 145 261 435 783 1305 3915 27011 81033 135055 243099 405165 729297 783319 1215495 2349957 3646485 3916595 7049871 11749785 21149613 35249355 105748065