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105434164 = 22113764763
BaseRepresentation
bin1100100100011…
…00110000110100
321100101121111001
412102030300310
5203442343124
614243453044
72420114143
oct622146064
9240347431
10105434164
1154573280
122b387184
1318ac70a4
141000775a
1593c9b44
hex648cc34

105434164 has 24 divisors (see below), whose sum is σ = 206726688. Its totient is φ = 46628640.

The previous prime is 105434159. The next prime is 105434179. The reversal of 105434164 is 461434501.

It is a super-2 number, since 2×1054341642 = 22232725876757792, which contains 22 as substring.

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, 30754 + ... + 34009.

It is an arithmetic number, because the mean of its divisors is an integer number (8613612).

Almost surely, 2105434164 is an apocalyptic number.

It is an amenable number.

105434164 is a deficient number, since it is larger than the sum of its proper divisors (101292524).

105434164 is a wasteful number, since it uses less digits than its factorization.

105434164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64815 (or 64813 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 105434164 is about 10268.1139456085. The cubic root of 105434164 is about 472.4187428738.

Adding to 105434164 its reverse (461434501), we get a palindrome (566868665).

The spelling of 105434164 in words is "one hundred five million, four hundred thirty-four thousand, one hundred sixty-four".

Divisors: 1 2 4 11 22 37 44 74 148 407 814 1628 64763 129526 259052 712393 1424786 2396231 2849572 4792462 9584924 26358541 52717082 105434164