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105414016 = 27823547
BaseRepresentation
bin1100100100001…
…11110110000000
321100100120211211
412102013312000
5203441222031
614243215504
72420001331
oct622076600
9240316754
10105414016
115455a124
122b377594
1318abab76
1410000288
1593c3bb1
hex6487d80

105414016 has 16 divisors (see below), whose sum is σ = 210004740. Its totient is φ = 52706944.

The previous prime is 105414007. The next prime is 105414017. The reversal of 105414016 is 610414501.

It is a tau number, because it is divible by the number of its divisors (16).

It is a super-2 number, since 2×1054140162 = 22224229538496512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105414017) 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 as a sum of consecutive naturals, namely, 411646 + ... + 411901.

Almost surely, 2105414016 is an apocalyptic number.

105414016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105414016 is a deficient number, since it is larger than the sum of its proper divisors (104590724).

105414016 is an frugal number, since it uses more digits than its factorization.

105414016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823561 (or 823549 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 105414016 is about 10267.1328032708. The cubic root of 105414016 is about 472.3886485830.

Adding to 105414016 its reverse (610414501), we get a palindrome (715828517).

The spelling of 105414016 in words is "one hundred five million, four hundred fourteen thousand, sixteen".

Divisors: 1 2 4 8 16 32 64 128 823547 1647094 3294188 6588376 13176752 26353504 52707008 105414016