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106332018 = 231319157457
BaseRepresentation
bin1100101011001…
…11111101110010
321102002020002220
412111213331302
5204210111033
614315021510
72430543612
oct625477562
9242066086
10106332018
1155026901
122b73a896
131904c970
141019ca42
159505bb3
hex6567f72

106332018 has 64 divisors (see below), whose sum is σ = 243143040. Its totient is φ = 30730752.

The previous prime is 106331987. The next prime is 106332041. The reversal of 106332018 is 810233601.

It is a super-2 number, since 2×1063320182 = 22612996103904648, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 232446 + ... + 232902.

It is an arithmetic number, because the mean of its divisors is an integer number (3799110).

Almost surely, 2106332018 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106332018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121571520).

106332018 is an abundant number, since it is smaller than the sum of its proper divisors (136811022).

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

106332018 is a wasteful number, since it uses less digits than its factorization.

106332018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651.

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 106332018 is about 10311.7417539424. The cubic root of 106332018 is about 473.7559586926.

Adding to 106332018 its reverse (810233601), we get a palindrome (916565619).

The spelling of 106332018 in words is "one hundred six million, three hundred thirty-two thousand, eighteen".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 114 157 247 314 457 471 494 741 914 942 1371 1482 2041 2742 2983 4082 5941 5966 6123 8683 8949 11882 12246 17366 17823 17898 26049 35646 38779 52098 71749 77558 112879 116337 143498 215247 225758 232674 338637 430494 677274 932737 1363231 1865474 2726462 2798211 4089693 5596422 8179386 17722003 35444006 53166009 106332018