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105334332 = 22347186763
BaseRepresentation
bin1100100011101…
…00011000111100
321100012112112120
412101310120330
5203431144312
614241402540
72416220115
oct621643074
9240175476
10105334332
1154505274
122b339450
1318a9080c
14ddbd20c
1593aa28c
hex647463c

105334332 has 24 divisors (see below), whose sum is σ = 251010816. Its totient is φ = 34364208.

The previous prime is 105334321. The next prime is 105334357. The reversal of 105334332 is 233433501.

It is a happy number.

It is a super-2 number, since 2×1053343322 = 22190642995772448, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92818 + ... + 93945.

It is an arithmetic number, because the mean of its divisors is an integer number (10458784).

Almost surely, 2105334332 is an apocalyptic number.

105334332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105334332 is an abundant number, since it is smaller than the sum of its proper divisors (145676484).

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

105334332 is a wasteful number, since it uses less digits than its factorization.

105334332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186817 (or 186815 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 24.

The square root of 105334332 is about 10263.2515315567. The cubic root of 105334332 is about 472.2695900771.

Adding to 105334332 its reverse (233433501), we get a palindrome (338767833).

The spelling of 105334332 in words is "one hundred five million, three hundred thirty-four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 47 94 141 188 282 564 186763 373526 560289 747052 1120578 2241156 8777861 17555722 26333583 35111444 52667166 105334332