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105978483 = 3313301933
BaseRepresentation
bin1100101000100…
…01101001110011
321101102021011000
412110101221303
5204112302413
614303253043
72424542112
oct624215163
9241367130
10105978483
1154905226
122b5aa183
1318c57a80
1410109c79
159486073
hex6511a73

105978483 has 16 divisors (see below), whose sum is σ = 169083040. Its totient is φ = 65217312.

The previous prime is 105978479. The next prime is 105978487. The reversal of 105978483 is 384879501.

105978483 is a `hidden beast` number, since 10 + 597 + 8 + 48 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (105978479) and next prime (105978487).

It is not a de Polignac number, because 105978483 - 22 = 105978479 is a prime.

It is a super-2 number, since 2×1059784832 = 22462877717962578, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105978487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150616 + ... + 151317.

It is an arithmetic number, because the mean of its divisors is an integer number (10567690).

Almost surely, 2105978483 is an apocalyptic number.

105978483 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

105978483 is a deficient number, since it is larger than the sum of its proper divisors (63104557).

105978483 is a wasteful number, since it uses less digits than its factorization.

105978483 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301955 (or 301949 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 105978483 is about 10294.5851300575. The cubic root of 105978483 is about 473.2303243520.

The spelling of 105978483 in words is "one hundred five million, nine hundred seventy-eight thousand, four hundred eighty-three".

Divisors: 1 3 9 13 27 39 117 351 301933 905799 2717397 3925129 8152191 11775387 35326161 105978483