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106056594 = 23371914767
BaseRepresentation
bin1100101001001…
…00101110010010
321101120020022000
412110210232102
5204122302334
614305054430
72425315620
oct624445622
9241506260
10106056594
1154958986
122b627416
1318c844a7
141012a510
15949e299
hex6524b92

106056594 has 64 divisors (see below), whose sum is σ = 283545600. Its totient is φ = 28705104.

The previous prime is 106056553. The next prime is 106056617. The reversal of 106056594 is 495650601.

106056594 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 565 + 94 = 666.

It is a super-2 number, since 2×1060565942 = 22496002261761672, which contains 22 as substring.

It is a Curzon 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, 202 + ... + 14565.

It is an arithmetic number, because the mean of its divisors is an integer number (4430400).

Almost surely, 2106056594 is an apocalyptic number.

106056594 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106056594, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141772800).

106056594 is an abundant number, since it is smaller than the sum of its proper divisors (177489006).

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

106056594 is a wasteful number, since it uses less digits than its factorization.

106056594 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14804 (or 14798 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 106056594 is about 10298.3782218367. The cubic root of 106056594 is about 473.3465599469.

The spelling of 106056594 in words is "one hundred six million, fifty-six thousand, five hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 114 126 133 171 189 266 342 378 399 513 798 1026 1197 2394 3591 7182 14767 29534 44301 88602 103369 132903 206738 265806 280573 310107 398709 561146 620214 797418 841719 930321 1683438 1860642 1964011 2525157 2790963 3928022 5050314 5581926 5892033 7575471 11784066 15150942 17676099 35352198 53028297 106056594