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106059834 = 23337109487
BaseRepresentation
bin1100101001001…
…01100000111010
321101120101202000
412110211200322
5204122403314
614305121430
72425331226
oct624454072
9241511660
10106059834
1154960361
122b629276
1318c85aca
141012b786
1594a0209
hex652583a

106059834 has 64 divisors (see below), whose sum is σ = 244780800. Its totient is φ = 34012224.

The previous prime is 106059823. The next prime is 106059841. The reversal of 106059834 is 438950601.

106059834 is a `hidden beast` number, since 1 + 0 + 60 + 598 + 3 + 4 = 666.

It is a super-2 number, since 2×1060598342 = 22497376776215112, 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, 217539 + ... + 218025.

It is an arithmetic number, because the mean of its divisors is an integer number (3824700).

Almost surely, 2106059834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106059834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122390400).

106059834 is an abundant number, since it is smaller than the sum of its proper divisors (138720966).

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

106059834 is a wasteful number, since it uses less digits than its factorization.

106059834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 106059834 is about 10298.5355269572. The cubic root of 106059834 is about 473.3513801006.

The spelling of 106059834 in words is "one hundred six million, fifty-nine thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 37 54 74 109 111 218 222 327 333 487 654 666 974 981 999 1461 1962 1998 2922 2943 4033 4383 5886 8066 8766 12099 13149 18019 24198 26298 36038 36297 53083 54057 72594 106166 108114 108891 159249 162171 217782 318498 324342 477747 486513 955494 973026 1433241 1964071 2866482 3928142 5892213 11784426 17676639 35353278 53029917 106059834