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105045 = 3547149
BaseRepresentation
bin11001101001010101
312100002120
4121221111
511330140
62130153
7615153
oct315125
9170076
10105045
1171a16
1250959
1338a75
142a3d3
15211d0
hex19a55

105045 has 16 divisors (see below), whose sum is σ = 172800. Its totient is φ = 54464.

The previous prime is 105037. The next prime is 105071. The reversal of 105045 is 540501.

Adding to 105045 its reverse (540501), we get a palindrome (645546).

It is a cyclic number.

It is not a de Polignac number, because 105045 - 23 = 105037 is a prime.

It is a super-2 number, since 2×1050452 = 22068904050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 631 + ... + 779.

It is an arithmetic number, because the mean of its divisors is an integer number (10800).

2105045 is an apocalyptic number.

105045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105045 is a deficient number, since it is larger than the sum of its proper divisors (67755).

105045 is a wasteful number, since it uses less digits than its factorization.

105045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204.

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 105045 is about 324.1064639898. The cubic root of 105045 is about 47.1836784034.

The spelling of 105045 in words is "one hundred five thousand, forty-five".

Divisors: 1 3 5 15 47 141 149 235 447 705 745 2235 7003 21009 35015 105045