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106010564 = 22117973023
BaseRepresentation
bin1100101000110…
…01011111000100
321101110220011012
412110121133010
5204114314224
614304101352
72425034462
oct624313704
9241426135
10106010564
1154927340
122b604858
1318c6955a
1410117832
15949080e
hex65197c4

106010564 has 24 divisors (see below), whose sum is σ = 202704768. Its totient is φ = 48110240.

The previous prime is 106010561. The next prime is 106010579. The reversal of 106010564 is 465010601.

It is a super-2 number, since 2×1060105642 = 22476479359196192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106010561) 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 7 ways as a sum of consecutive naturals, for example, 33557 + ... + 36579.

It is an arithmetic number, because the mean of its divisors is an integer number (8446032).

Almost surely, 2106010564 is an apocalyptic number.

It is an amenable number.

106010564 is a deficient number, since it is larger than the sum of its proper divisors (96694204).

106010564 is a wasteful number, since it uses less digits than its factorization.

106010564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3835 (or 3833 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 106010564 is about 10296.1431613979. The cubic root of 106010564 is about 473.2780704289.

The spelling of 106010564 in words is "one hundred six million, ten thousand, five hundred sixty-four".

Divisors: 1 2 4 11 22 44 797 1594 3023 3188 6046 8767 12092 17534 33253 35068 66506 133012 2409331 4818662 9637324 26502641 53005282 106010564