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105332695369 = 11151617310273
BaseRepresentation
bin110001000011001010…
…0010110000101001001
3101001212211001100001121
41202012110112011021
53211210132222434
6120220021115241
710416146065216
oct1420624260511
9331784040047
10105332695369
1140742619060
12184b7858b21
139c18575ba5
1451533a6b0d
152b174ac7b4
hex1886516149

105332695369 has 16 divisors (see below), whose sum is σ = 115699377024. Its totient is φ = 95098176000.

The previous prime is 105332695343. The next prime is 105332695379. The reversal of 105332695369 is 963596233501.

It is a cyclic number.

It is not a de Polignac number, because 105332695369 - 213 = 105332687177 is a prime.

It is a super-2 number, since 2×1053326953692 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105332695379) 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, 10248217 + ... + 10258489.

It is an arithmetic number, because the mean of its divisors is an integer number (7231211064).

Almost surely, 2105332695369 is an apocalyptic number.

It is an amenable number.

105332695369 is a deficient number, since it is larger than the sum of its proper divisors (10366681655).

105332695369 is a wasteful number, since it uses less digits than its factorization.

105332695369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16608.

The product of its (nonzero) digits is 3936600, while the sum is 52.

The spelling of 105332695369 in words is "one hundred five billion, three hundred thirty-two million, six hundred ninety-five thousand, three hundred sixty-nine".

Divisors: 1 11 151 1661 6173 10273 67903 113003 932123 1551223 10253353 17063453 63415229 697567519 9575699579 105332695369