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106164220 = 22521432477
BaseRepresentation
bin1100101001111…
…10111111111100
321101202200221011
412110332333330
5204134223340
614311245004
72426244451
oct624767774
9241680834
10106164220
1154a21828
122b679764
1318cc1486
1410157828
1594c10ea
hex653effc

106164220 has 24 divisors (see below), whose sum is σ = 223138944. Its totient is φ = 42428736.

The previous prime is 106164209. The next prime is 106164259. The reversal of 106164220 is 22461601.

It is a super-2 number, since 2×1061642202 = 22541683216416800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106164191 and 106164200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41622 + ... + 44098.

It is an arithmetic number, because the mean of its divisors is an integer number (9297456).

Almost surely, 2106164220 is an apocalyptic number.

106164220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106164220 is an abundant number, since it is smaller than the sum of its proper divisors (116974724).

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

106164220 is a wasteful number, since it uses less digits than its factorization.

106164220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4629 (or 4627 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 106164220 is about 10303.6022826971. The cubic root of 106164220 is about 473.5066228338.

The spelling of 106164220 in words is "one hundred six million, one hundred sixty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 2143 2477 4286 4954 8572 9908 10715 12385 21430 24770 42860 49540 5308211 10616422 21232844 26541055 53082110 106164220