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105045135 = 35131992707
BaseRepresentation
bin1100100001011…
…01110010001111
321022122211211120
412100231302033
5203342421020
614231252023
72413604016
oct620556217
9238584746
10105045135
1154327a68
122b21a013
13189bbcb0
14dd45a7d
15934e740
hex642dc8f

105045135 has 32 divisors (see below), whose sum is σ = 181977600. Its totient is φ = 51435648.

The previous prime is 105045133. The next prime is 105045169. The reversal of 105045135 is 531540501.

It is not a de Polignac number, because 105045135 - 21 = 105045133 is a prime.

It is a super-2 number, since 2×1050451352 = 22068960774336450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105045131) 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, 37452 + ... + 40158.

It is an arithmetic number, because the mean of its divisors is an integer number (5686800).

Almost surely, 2105045135 is an apocalyptic number.

105045135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105045135 is a deficient number, since it is larger than the sum of its proper divisors (76932465).

105045135 is a wasteful number, since it uses less digits than its factorization.

105045135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2927.

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 105045135 is about 10249.1528918248. The cubic root of 105045135 is about 471.8369861633.

Adding to 105045135 its reverse (531540501), we get a palindrome (636585636).

The spelling of 105045135 in words is "one hundred five million, forty-five thousand, one hundred thirty-five".

Divisors: 1 3 5 13 15 39 65 195 199 597 995 2587 2707 2985 7761 8121 12935 13535 35191 38805 40605 105573 175955 527865 538693 1616079 2693465 7003009 8080395 21009027 35015045 105045135