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106058916 = 22332933863
BaseRepresentation
bin1100101001001…
…01010010100100
321101120100111000
412110211102210
5204122341131
614305113300
72425325445
oct624452244
9241510430
10106058916
115495a6a7
122b628830
1318c85572
141012b2cc
15949ece6
hex65254a4

106058916 has 48 divisors (see below), whose sum is σ = 284457600. Its totient is φ = 34132896.

The previous prime is 106058881. The next prime is 106058917. The reversal of 106058916 is 619850601.

106058916 is a `hidden beast` number, since 1 + 0 + 60 + 589 + 16 = 666.

It is a super-2 number, since 2×1060589162 = 22496987326190112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106058917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13800 + ... + 20063.

It is an arithmetic number, because the mean of its divisors is an integer number (5926200).

Almost surely, 2106058916 is an apocalyptic number.

It is an amenable number.

106058916 is an abundant number, since it is smaller than the sum of its proper divisors (178398684).

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

106058916 is a wasteful number, since it uses less digits than its factorization.

106058916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33905 (or 33897 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 106058916 is about 10298.4909574170. The cubic root of 106058916 is about 473.3500144003.

The spelling of 106058916 in words is "one hundred six million, fifty-eight thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 116 174 261 348 522 783 1044 1566 3132 33863 67726 101589 135452 203178 304767 406356 609534 914301 982027 1219068 1828602 1964054 2946081 3657204 3928108 5892162 8838243 11784324 17676486 26514729 35352972 53029458 106058916