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106990569 = 3272377983
BaseRepresentation
bin1100110000010…
…00101111101001
321110022200110200
412120020233221
5204342144234
614341102413
72436255600
oct630105751
9243280420
10106990569
1155436664
122b9b7a09
131922063a
14102d0a37
1595d5d99
hex6608be9

106990569 has 72 divisors (see below), whose sum is σ = 189221760. Its totient is φ = 58024512.

The previous prime is 106990567. The next prime is 106990591. The reversal of 106990569 is 965099601.

It is not a de Polignac number, because 106990569 - 21 = 106990567 is a prime.

It is a super-2 number, since 2×1069905692 = 22893963709887522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106990567) 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 71 ways as a sum of consecutive naturals, for example, 1289002 + ... + 1289084.

It is an arithmetic number, because the mean of its divisors is an integer number (2628080).

Almost surely, 2106990569 is an apocalyptic number.

It is an amenable number.

106990569 is a deficient number, since it is larger than the sum of its proper divisors (82231191).

106990569 is a wasteful number, since it uses less digits than its factorization.

106990569 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 45.

The square root of 106990569 is about 10343.6245581518. The cubic root of 106990569 is about 474.7319913772.

The spelling of 106990569 in words is "one hundred six million, nine hundred ninety thousand, five hundred sixty-nine".

Divisors: 1 3 7 9 21 37 49 63 79 83 111 147 237 249 259 333 441 553 581 711 747 777 1659 1743 1813 2331 2923 3071 3871 4067 4977 5229 5439 6557 8769 9213 11613 12201 16317 19671 20461 21497 26307 27639 34839 36603 45899 59013 61383 64491 137697 143227 150479 184149 193473 242609 321293 413091 429681 451437 727827 963879 1289043 1354311 1698263 2183481 2891637 5094789 11887841 15284367 35663523 106990569