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105227064 = 23324873001
BaseRepresentation
bin1100100010110…
…10001100111000
321100000002101200
412101122030320
5203414231224
614235214200
72415262305
oct621321470
9240002350
10105227064
1154441718
122b2a7360
1318a53a47
14dd920ac
1593885c9
hex645a338

105227064 has 48 divisors (see below), whose sum is σ = 285670320. Its totient is φ = 34992000.

The previous prime is 105227053. The next prime is 105227071. The reversal of 105227064 is 460722501.

105227064 is a `hidden beast` number, since 10 + 522 + 70 + 64 = 666.

It is a super-2 number, since 2×1052270642 = 22145469996120192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33564 + ... + 36564.

It is an arithmetic number, because the mean of its divisors is an integer number (5951465).

Almost surely, 2105227064 is an apocalyptic number.

It is an amenable number.

105227064 is an abundant number, since it is smaller than the sum of its proper divisors (180443256).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105227064 is a wasteful number, since it uses less digits than its factorization.

105227064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3500 (or 3493 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 105227064 is about 10258.0243711935. The cubic root of 105227064 is about 472.1092225451.

Adding to 105227064 its reverse (460722501), we get a palindrome (565949565).

The spelling of 105227064 in words is "one hundred five million, two hundred twenty-seven thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 487 974 1461 1948 2922 3001 3896 4383 5844 6002 8766 9003 11688 12004 17532 18006 24008 27009 35064 36012 54018 72024 108036 216072 1461487 2922974 4384461 5845948 8768922 11691896 13153383 17537844 26306766 35075688 52613532 105227064