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105780051 = 3213904103
BaseRepresentation
bin1100100111000…
…01001101010011
321101001011221200
412103201031103
5204034430201
614255122243
72423054436
oct623411523
9241034850
10105780051
115478a133
122b513383
1318bb8660
141009781d
159447386
hex64e1353

105780051 has 12 divisors (see below), whose sum is σ = 164546928. Its totient is φ = 65095344.

The previous prime is 105779981. The next prime is 105780061. The reversal of 105780051 is 150087501.

It is not a de Polignac number, because 105780051 - 27 = 105779923 is a prime.

It is a super-2 number, since 2×1057800512 = 22378838379125202, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 105779997 and 105780024.

It is not an unprimeable number, because it can be changed into a prime (105780061) 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 11 ways as a sum of consecutive naturals, for example, 451935 + ... + 452168.

It is an arithmetic number, because the mean of its divisors is an integer number (13712244).

Almost surely, 2105780051 is an apocalyptic number.

105780051 is a deficient number, since it is larger than the sum of its proper divisors (58766877).

105780051 is a wasteful number, since it uses less digits than its factorization.

105780051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904122 (or 904119 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 27.

The square root of 105780051 is about 10284.9429264338. The cubic root of 105780051 is about 472.9347841438.

The spelling of 105780051 in words is "one hundred five million, seven hundred eighty thousand, fifty-one".

Divisors: 1 3 9 13 39 117 904103 2712309 8136927 11753339 35260017 105780051