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105511945 = 574111747
BaseRepresentation
bin1100100100111…
…11110000001001
321100112120011211
412102133300021
5204002340240
614245253121
72420560000
oct622376011
9240476154
10105511945
1154616760
122b4041a1
1318b23606
1410027c37
1593e2bea
hex649fc09

105511945 has 80 divisors (see below), whose sum is σ = 174244608. Its totient is φ = 60587520.

The previous prime is 105511933. The next prime is 105511949. The reversal of 105511945 is 549115501.

It is not a de Polignac number, because 105511945 - 219 = 104987657 is a prime.

It is a super-2 number, since 2×1055119452 = 22265541075366050, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105511949) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 2244912 + ... + 2244958.

Almost surely, 2105511945 is an apocalyptic number.

It is an amenable number.

105511945 is a deficient number, since it is larger than the sum of its proper divisors (68732663).

105511945 is an equidigital number, since it uses as much as digits as its factorization.

105511945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 31.

The square root of 105511945 is about 10271.9007491311. The cubic root of 105511945 is about 472.5348853987.

The spelling of 105511945 in words is "one hundred five million, five hundred eleven thousand, nine hundred forty-five".

Divisors: 1 5 7 11 17 35 47 49 55 77 85 119 187 235 245 329 343 385 517 539 595 799 833 935 1309 1645 1715 2303 2401 2585 2695 3619 3773 3995 4165 5593 5831 6545 8789 9163 11515 12005 16121 18095 18865 25333 26411 27965 29155 39151 40817 43945 45815 61523 64141 80605 112847 126665 132055 177331 195755 204085 274057 307615 320705 430661 448987 564235 886655 1241317 1370285 1918399 2153305 2244935 3014627 6206585 9591995 15073135 21102389 105511945