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105132045 = 3567731433
BaseRepresentation
bin1100100010000…
…11000000001101
321022211021001110
412101003000031
5203403211140
614233202233
72414415264
oct621030015
9238737043
10105132045
1154387297
122b260379
1318a1c715
14dd695db
15936a380
hex644300d

105132045 has 32 divisors (see below), whose sum is σ = 173181312. Its totient is φ = 54438912.

The previous prime is 105132031. The next prime is 105132061. The reversal of 105132045 is 540231501.

It is not a de Polignac number, because 105132045 - 26 = 105131981 is a prime.

It is a super-2 number, since 2×1051320452 = 22105493771764050, 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 31 ways as a sum of consecutive naturals, for example, 72649 + ... + 74081.

It is an arithmetic number, because the mean of its divisors is an integer number (5411916).

Almost surely, 2105132045 is an apocalyptic number.

105132045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105132045 is a deficient number, since it is larger than the sum of its proper divisors (68049267).

105132045 is a wasteful number, since it uses less digits than its factorization.

105132045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1581.

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 105132045 is about 10253.3918778129. The cubic root of 105132045 is about 471.9670764285.

Adding to 105132045 its reverse (540231501), we get a palindrome (645363546).

The spelling of 105132045 in words is "one hundred five million, one hundred thirty-two thousand, forty-five".

Divisors: 1 3 5 15 67 73 201 219 335 365 1005 1095 1433 4299 4891 7165 14673 21495 24455 73365 96011 104609 288033 313827 480055 523045 1440165 1569135 7008803 21026409 35044015 105132045