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1056864105 = 3651143613
BaseRepresentation
bin111110111111100…
…111011101101001
32201122200021000000
4332333213131221
54131024122410
6252512133213
735122124313
oct7677473551
92648607000
101056864105
114a2632710
12255b37209
1313ac5999b
14a05107b3
1562bb4dc0
hex3efe7769

1056864105 has 112 divisors (see below), whose sum is σ = 2126051136. Its totient is φ = 499685760.

The previous prime is 1056864077. The next prime is 1056864119. The reversal of 1056864105 is 5014686501.

1056864105 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 8 + 641 + 0 + 5 = 666.

It is not a de Polignac number, because 1056864105 - 25 = 1056864073 is a prime.

It is a super-2 number, since 2×10568641052 = 2233923472874902050, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1056864105.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1723779 + ... + 1724391.

Almost surely, 21056864105 is an apocalyptic number.

1056864105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1056864105 is an abundant number, since it is smaller than the sum of its proper divisors (1069187031).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1056864105 is an equidigital number, since it uses as much as digits as its factorization.

1056864105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 1056864105 is about 32509.4463963938. The cubic root of 1056864105 is about 1018.6063579579.

The spelling of 1056864105 in words is "one billion, fifty-six million, eight hundred sixty-four thousand, one hundred five".

Divisors: 1 3 5 9 11 15 27 33 43 45 55 81 99 129 135 165 215 243 297 387 405 473 495 613 645 729 891 1161 1215 1419 1485 1839 1935 2365 2673 3065 3483 3645 4257 4455 5517 5805 6743 7095 8019 9195 10449 12771 13365 16551 17415 20229 21285 26359 27585 31347 33715 38313 40095 49653 52245 60687 63855 79077 82755 101145 114939 131795 148959 156735 182061 191565 237231 248265 289949 303435 344817 395385 446877 546183 574695 711693 744795 869847 910305 1186155 1449745 1638549 1724085 2135079 2234385 2609541 2730915 3558465 4349235 4915647 6405237 7828623 8192745 10675395 13047705 19215711 23485869 24578235 32026185 39143115 70457607 96078555 117429345 211372821 352288035 1056864105