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106163526 = 23719173769
BaseRepresentation
bin1100101001111…
…10110101000110
321101202122222110
412110332311012
5204134213101
614311241450
72426242440
oct624766506
9241678873
10106163526
1154a21257
122b679286
1318cc1071
1410157490
1594c0cd6
hex653ed46

106163526 has 64 divisors (see below), whose sum is σ = 257241600. Its totient is φ = 28532736.

The previous prime is 106163509. The next prime is 106163537. The reversal of 106163526 is 625361601.

It is a super-2 number, since 2×1061635262 = 22541388505505352, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106163493 and 106163502.

It is a congruent number.

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, 137670 + ... + 138438.

It is an arithmetic number, because the mean of its divisors is an integer number (4019400).

Almost surely, 2106163526 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106163526, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128620800).

106163526 is an abundant number, since it is smaller than the sum of its proper divisors (151078074).

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

106163526 is a wasteful number, since it uses less digits than its factorization.

106163526 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973.

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 106163526 is about 10303.5686050999. The cubic root of 106163526 is about 473.5055910539.

The spelling of 106163526 in words is "one hundred six million, one hundred sixty-three thousand, five hundred twenty-six".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 173 266 346 399 519 769 798 1038 1211 1538 2307 2422 3287 3633 4614 5383 6574 7266 9861 10766 14611 16149 19722 23009 29222 32298 43833 46018 69027 87666 102277 133037 138054 204554 266074 306831 399111 613662 798222 931259 1862518 2527703 2793777 5055406 5587554 7583109 15166218 17693921 35387842 53081763 106163526