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105351464 = 23163173467
BaseRepresentation
bin1100100011110…
…00100100101000
321100020102001002
412101320210220
5203432221324
614242014132
72416321061
oct621704450
9240212032
10105351464
1154517129
122b347348
1318a9855a
14ddc5568
1593b03ae
hex6478928

105351464 has 32 divisors (see below), whose sum is σ = 200322720. Its totient is φ = 51938496.

The previous prime is 105351413. The next prime is 105351473. The reversal of 105351464 is 464153501.

It is a happy number.

It is a super-2 number, since 2×1053514642 = 22197861933886592, which contains 22 as substring.

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, 225359 + ... + 225825.

It is an arithmetic number, because the mean of its divisors is an integer number (6260085).

Almost surely, 2105351464 is an apocalyptic number.

It is an amenable number.

105351464 is a deficient number, since it is larger than the sum of its proper divisors (94971256).

105351464 is a wasteful number, since it uses less digits than its factorization.

105351464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 105351464 is about 10264.0861259052. The cubic root of 105351464 is about 472.2951926319.

The spelling of 105351464 in words is "one hundred five million, three hundred fifty-one thousand, four hundred sixty-four".

Divisors: 1 2 4 8 163 173 326 346 467 652 692 934 1304 1384 1868 3736 28199 56398 76121 80791 112796 152242 161582 225592 304484 323164 608968 646328 13168933 26337866 52675732 105351464