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105545352 = 23311399793
BaseRepresentation
bin1100100101001…
…11111010001000
321100121021000010
412102213322020
5204004422402
614250111520
72421056253
oct622477210
9240537003
10105545352
1154639870
122b41b5a0
1318b35893
141003609a
1593eca6c
hex64a7e88

105545352 has 32 divisors (see below), whose sum is σ = 287851680. Its totient is φ = 31983360.

The previous prime is 105545347. The next prime is 105545387. The reversal of 105545352 is 253545501.

It is a happy number.

It is a super-2 number, since 2×1055453522 = 22279642657607808, which contains 22 as substring.

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, 199633 + ... + 200160.

It is an arithmetic number, because the mean of its divisors is an integer number (8995365).

Almost surely, 2105545352 is an apocalyptic number.

105545352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105545352 is an abundant number, since it is smaller than the sum of its proper divisors (182306328).

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

105545352 is a wasteful number, since it uses less digits than its factorization.

105545352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399813 (or 399809 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 30.

The square root of 105545352 is about 10273.5267556959. The cubic root of 105545352 is about 472.5847511814.

The spelling of 105545352 in words is "one hundred five million, five hundred forty-five thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 399793 799586 1199379 1599172 2398758 3198344 4397723 4797516 8795446 9595032 13193169 17590892 26386338 35181784 52772676 105545352