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105404532 = 22317774943
BaseRepresentation
bin1100100100001…
…01100001110100
321100100002211120
412102011201310
5203440421112
614243103540
72416631562
oct622054164
9240302746
10105404532
1154552a92
122b371bb0
1318ab675c
14dddaa32
1593c0e8c
hex6485874

105404532 has 24 divisors (see below), whose sum is σ = 246132096. Its totient is φ = 35107968.

The previous prime is 105404491. The next prime is 105404543. The reversal of 105404532 is 235404501.

It is a super-2 number, since 2×1054045322 = 22220230732278048, which contains 22 as substring.

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18853 + ... + 23795.

It is an arithmetic number, because the mean of its divisors is an integer number (10255504).

Almost surely, 2105404532 is an apocalyptic number.

105404532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105404532 is an abundant number, since it is smaller than the sum of its proper divisors (140727564).

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

105404532 is a wasteful number, since it uses less digits than its factorization.

105404532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6727 (or 6725 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 105404532 is about 10266.6709307350. The cubic root of 105404532 is about 472.3744813704.

The spelling of 105404532 in words is "one hundred five million, four hundred four thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 12 1777 3554 4943 5331 7108 9886 10662 14829 19772 21324 29658 59316 8783711 17567422 26351133 35134844 52702266 105404532