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1056105405 = 33519411737
BaseRepresentation
bin111110111100101…
…110001110111101
32201121020201021000
4332330232032331
54130330333110
6252444000513
735112514335
oct7674561675
92647221230
101056105405
114a2164693
12255830139
1313aa52554
14a03940c5
1562ab51c0
hex3ef2e3bd

1056105405 has 32 divisors (see below), whose sum is σ = 1976342400. Its totient is φ = 533609856.

The previous prime is 1056105403. The next prime is 1056105437. The reversal of 1056105405 is 5045016501.

It is a happy number.

1056105405 is a `hidden beast` number, since 1 + 0 + 5 + 610 + 5 + 40 + 5 = 666.

It is not a de Polignac number, because 1056105405 - 21 = 1056105403 is a prime.

It is a super-2 number, since 2×10561054052 = 2230717252940428050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1056105403) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 203304 + ... + 208433.

It is an arithmetic number, because the mean of its divisors is an integer number (61760700).

Almost surely, 21056105405 is an apocalyptic number.

1056105405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1056105405 is a deficient number, since it is larger than the sum of its proper divisors (920236995).

1056105405 is a wasteful number, since it uses less digits than its factorization.

1056105405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411770 (or 411764 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 1056105405 is about 32497.7753854014. The cubic root of 1056105405 is about 1018.3625544126.

The spelling of 1056105405 in words is "one billion, fifty-six million, one hundred five thousand, four hundred five".

Divisors: 1 3 5 9 15 19 27 45 57 95 135 171 285 513 855 2565 411737 1235211 2058685 3705633 6176055 7823003 11116899 18528165 23469009 39115015 55584495 70407027 117345045 211221081 352035135 1056105405