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105219331 = 7131114743
BaseRepresentation
bin1100100010110…
…00010100000011
321022222200210021
412101120110003
5203414004311
614235114311
72415230620
oct621302403
9238880707
10105219331
1154436928
122b2a2997
1318a50379
14dd8d347
159386171
hex6458503

105219331 has 8 divisors (see below), whose sum is σ = 121169664. Its totient is φ = 89498760.

The previous prime is 105219329. The next prime is 105219343. The reversal of 105219331 is 133912501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105219331 - 21 = 105219329 is a prime.

It is a super-2 number, since 2×1052193312 = 22142215232175122, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105219296 and 105219305.

It is not an unprimeable number, because it can be changed into a prime (105219311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56455 + ... + 58288.

It is an arithmetic number, because the mean of its divisors is an integer number (15146208).

Almost surely, 2105219331 is an apocalyptic number.

105219331 is a deficient number, since it is larger than the sum of its proper divisors (15950333).

105219331 is a wasteful number, since it uses less digits than its factorization.

105219331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114881.

The product of its (nonzero) digits is 810, while the sum is 25.

The square root of 105219331 is about 10257.6474398373. The cubic root of 105219331 is about 472.0976573643.

The spelling of 105219331 in words is "one hundred five million, two hundred nineteen thousand, three hundred thirty-one".

Divisors: 1 7 131 917 114743 803201 15031333 105219331