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106460046 = 232721110973
BaseRepresentation
bin1100101100001…
…11001110001110
321102022201201200
412112013032032
5204223210141
614321450330
72431616100
oct626071616
9242281650
10106460046
1155104010
122b7a09a6
1319096014
14101d3570
15952dab6
hex658738e

106460046 has 72 divisors (see below), whose sum is σ = 292742424. Its totient is φ = 27649440.

The previous prime is 106460041. The next prime is 106460051. The reversal of 106460046 is 640064601.

106460046 is a `hidden beast` number, since 10 + 6 + 4 + 600 + 46 = 666.

It is an interprime number because it is at equal distance from previous prime (106460041) and next prime (106460051).

It is a super-2 number, since 2×1064600462 = 22667482788644232, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106460041) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4216 + ... + 15188.

It is an arithmetic number, because the mean of its divisors is an integer number (4065867).

Almost surely, 2106460046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106460046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146371212).

106460046 is an abundant number, since it is smaller than the sum of its proper divisors (186282378).

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

106460046 is a wasteful number, since it uses less digits than its factorization.

106460046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11006 (or 10996 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 106460046 is about 10317.9477610618. The cubic root of 106460046 is about 473.9460228019.

The spelling of 106460046 in words is "one hundred six million, four hundred sixty thousand, forty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 49 63 66 77 98 99 126 147 154 198 231 294 441 462 539 693 882 1078 1386 1617 3234 4851 9702 10973 21946 32919 65838 76811 98757 120703 153622 197514 230433 241406 362109 460866 537677 691299 724218 844921 1075354 1086327 1382598 1613031 1689842 2172654 2534763 3226062 4839093 5069526 5914447 7604289 9678186 11828894 15208578 17743341 35486682 53230023 106460046