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105232153 = 1323714957
BaseRepresentation
bin1100100010110…
…11011100011001
321100000100101011
412101123130121
5203414412103
614235253521
72415313165
oct621333431
9240010334
10105232153
1154445524
122b2aa2a1
1318a56160
14dd93ca5
159389d6d
hex645b719

105232153 has 16 divisors (see below), whose sum is σ = 119943936. Its totient is φ = 91586880.

The previous prime is 105232151. The next prime is 105232207. The reversal of 105232153 is 351232501.

It is a cyclic number.

It is not a de Polignac number, because 105232153 - 21 = 105232151 is a prime.

It is a super-2 number, since 2×1052321532 = 22147612050030818, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105232151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18751 + ... + 23707.

It is an arithmetic number, because the mean of its divisors is an integer number (7496496).

Almost surely, 2105232153 is an apocalyptic number.

105232153 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105232153 is a deficient number, since it is larger than the sum of its proper divisors (14711783).

105232153 is a wasteful number, since it uses less digits than its factorization.

105232153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5064.

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 105232153 is about 10258.2724179074. The cubic root of 105232153 is about 472.1168331508.

Adding to 105232153 its reverse (351232501), we get a palindrome (456464654).

The spelling of 105232153 in words is "one hundred five million, two hundred thirty-two thousand, one hundred fifty-three".

Divisors: 1 13 23 71 299 923 1633 4957 21229 64441 114011 351947 1482143 4575311 8094781 105232153