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106164618 = 23737531289
BaseRepresentation
bin1100101001111…
…11000110001010
321101202201110220
412110333012022
5204134231433
614311250510
72426245560
oct624770612
9241681426
10106164618
1154a2205a
122b679a36
1318cc1701
1410157a30
1594c12b3
hex653f18a

106164618 has 64 divisors (see below), whose sum is σ = 254119680. Its totient is φ = 28933632.

The previous prime is 106164607. The next prime is 106164631. The reversal of 106164618 is 816461601.

It is a super-2 number, since 2×1061646182 = 22541852230171848, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81718 + ... + 83006.

It is an arithmetic number, because the mean of its divisors is an integer number (3970620).

Almost surely, 2106164618 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106164618, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127059840).

106164618 is an abundant number, since it is smaller than the sum of its proper divisors (147955062).

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

106164618 is a wasteful number, since it uses less digits than its factorization.

106164618 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1391.

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 106164618 is about 10303.6215963126. The cubic root of 106164618 is about 473.5072145441.

The spelling of 106164618 in words is "one hundred six million, one hundred sixty-four thousand, six hundred eighteen".

Divisors: 1 2 3 6 7 14 21 37 42 53 74 106 111 159 222 259 318 371 518 742 777 1113 1289 1554 1961 2226 2578 3867 3922 5883 7734 9023 11766 13727 18046 27069 27454 41181 47693 54138 68317 82362 95386 136634 143079 204951 286158 333851 409902 478219 667702 956438 1001553 1434657 2003106 2527729 2869314 5055458 7583187 15166374 17694103 35388206 53082309 106164618