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105416014 = 21117521541
BaseRepresentation
bin1100100100010…
…00010101001110
321100100200120211
412102020111032
5203441303024
614243233034
72420010214
oct622102516
9240320524
10105416014
1154560680
122b37877a
1318abba52
1410000cb4
1593c4594
hex648854e

105416014 has 32 divisors (see below), whose sum is σ = 183334752. Its totient is φ = 44928000.

The previous prime is 105415967. The next prime is 105416033. The reversal of 105416014 is 410614501.

It is a super-2 number, since 2×1054160142 = 22225072015296392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

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 15 ways as a sum of consecutive naturals, for example, 194584 + ... + 195124.

It is an arithmetic number, because the mean of its divisors is an integer number (5729211).

Almost surely, 2105416014 is an apocalyptic number.

105416014 is a deficient number, since it is larger than the sum of its proper divisors (77918738).

105416014 is a wasteful number, since it uses less digits than its factorization.

105416014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092.

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

The square root of 105416014 is about 10267.2301035868. The cubic root of 105416014 is about 472.3916330898.

The spelling of 105416014 in words is "one hundred five million, four hundred sixteen thousand, fourteen".

Divisors: 1 2 11 17 22 34 187 374 521 541 1042 1082 5731 5951 8857 9197 11462 11902 17714 18394 97427 101167 194854 202334 281861 563722 3100471 4791637 6200942 9583274 52708007 105416014