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105532146 = 2345771129
BaseRepresentation
bin1100100101001…
…00101011110010
321100120120220000
412102210223302
5204004012041
614245530430
72421002616
oct622445362
9240516800
10105532146
115462a955
122b413a16
1318b2c875
1410031346
1593e8bb6
hex64a4af2

105532146 has 40 divisors (see below), whose sum is σ = 237089820. Its totient is φ = 35085312.

The previous prime is 105532127. The next prime is 105532157. The reversal of 105532146 is 641235501.

It can be written as a sum of positive squares in 2 ways, for example, as 104346225 + 1185921 = 10215^2 + 1089^2 .

It is a super-2 number, since 2×1055321462 = 22274067678730632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 19 ways as a sum of consecutive naturals, for example, 92910 + ... + 94038.

Almost surely, 2105532146 is an apocalyptic number.

105532146 is an abundant number, since it is smaller than the sum of its proper divisors (131557674).

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

105532146 is a wasteful number, since it uses less digits than its factorization.

105532146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1720 (or 1711 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 105532146 is about 10272.8840156988. The cubic root of 105532146 is about 472.5650401775.

Adding to 105532146 its reverse (641235501), we get a palindrome (746767647).

The spelling of 105532146 in words is "one hundred five million, five hundred thirty-two thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 81 162 577 1129 1154 1731 2258 3387 3462 5193 6774 10161 10386 15579 20322 30483 31158 46737 60966 91449 93474 182898 651433 1302866 1954299 3908598 5862897 11725794 17588691 35177382 52766073 105532146