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105520464 = 24327104683
BaseRepresentation
bin1100100101000…
…01110101010000
321100112222212100
412102201311100
5204003123324
614245400400
72420623560
oct622416520
9240488770
10105520464
11546220a5
122b409100
1318b2745a
141002ada0
1593e54c9
hex64a1d50

105520464 has 60 divisors (see below), whose sum is σ = 337501216. Its totient is φ = 30148416.

The previous prime is 105520463. The next prime is 105520469. The reversal of 105520464 is 464025501.

It is a super-2 number, since 2×1055204642 = 22269136645550592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105520463) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 51334 + ... + 53349.

Almost surely, 2105520464 is an apocalyptic number.

105520464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105520464 is an abundant number, since it is smaller than the sum of its proper divisors (231980752).

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

105520464 is a wasteful number, since it uses less digits than its factorization.

105520464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104704 (or 104695 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 105520464 is about 10272.3154157181. The cubic root of 105520464 is about 472.5476024939.

Adding to 105520464 its reverse (464025501), we get a palindrome (569545965).

The spelling of 105520464 in words is "one hundred five million, five hundred twenty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 104683 209366 314049 418732 628098 732781 837464 942147 1256196 1465562 1674928 1884294 2198343 2512392 2931124 3768588 4396686 5024784 5862248 6595029 7537176 8793372 11724496 13190058 15074352 17586744 26380116 35173488 52760232 105520464