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106822989 = 3372136211
BaseRepresentation
bin1100101110111…
…11110101001101
321110000011121000
412113133311031
5204321313424
614333330513
72434660200
oct627376515
9243004530
10106822989
1155331769
122b936a39
1319192290
1410289937
1595a13c9
hex65dfd4d

106822989 has 48 divisors (see below), whose sum is σ = 198287040. Its totient is φ = 56337120.

The previous prime is 106822939. The next prime is 106823011. The reversal of 106822989 is 989228601.

It is not a de Polignac number, because 106822989 - 27 = 106822861 is a prime.

It is a super-2 number, since 2×1068229892 = 22822301957788242, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106822939) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14094 + ... + 20304.

It is an arithmetic number, because the mean of its divisors is an integer number (4130980).

Almost surely, 2106822989 is an apocalyptic number.

It is an amenable number.

106822989 is a deficient number, since it is larger than the sum of its proper divisors (91464051).

106822989 is a wasteful number, since it uses less digits than its factorization.

106822989 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6247 (or 6234 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 106822989 is about 10335.5207415979. The cubic root of 106822989 is about 474.4840032907.

The spelling of 106822989 in words is "one hundred six million, eight hundred twenty-two thousand, nine hundred eighty-nine".

Divisors: 1 3 7 9 13 21 27 39 49 63 91 117 147 189 273 351 441 637 819 1323 1911 2457 5733 6211 17199 18633 43477 55899 80743 130431 167697 242229 304339 391293 565201 726687 913017 1173879 1695603 2180061 2739051 3956407 5086809 8217153 11869221 15260427 35607663 106822989