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106058945 = 5291494909
BaseRepresentation
bin1100101001001…
…01010011000001
321101120100112002
412110211103001
5204122341240
614305113345
72425325516
oct624452301
9241510462
10106058945
115495a723
122b628855
1318c85595
141012b30d
15949ed15
hex65254c1

106058945 has 16 divisors (see below), whose sum is σ = 132570000. Its totient is φ = 81355008.

The previous prime is 106058929. The next prime is 106058987. The reversal of 106058945 is 549850601.

It can be written as a sum of positive squares in 8 ways, for example, as 565504 + 105493441 = 752^2 + 10271^2 .

It is a cyclic number.

It is not a de Polignac number, because 106058945 - 24 = 106058929 is a prime.

It is a super-2 number, since 2×1060589452 = 22496999629026050, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106058899 and 106058908.

It is an unprimeable number.

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, 19151 + ... + 24059.

It is an arithmetic number, because the mean of its divisors is an integer number (8285625).

Almost surely, 2106058945 is an apocalyptic number.

It is an amenable number.

106058945 is a deficient number, since it is larger than the sum of its proper divisors (26511055).

106058945 is a wasteful number, since it uses less digits than its factorization.

106058945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5092.

The product of its (nonzero) digits is 43200, while the sum is 38.

The square root of 106058945 is about 10298.4923653902. The cubic root of 106058945 is about 473.3500575435.

The spelling of 106058945 in words is "one hundred six million, fifty-eight thousand, nine hundred forty-five".

Divisors: 1 5 29 145 149 745 4321 4909 21605 24545 142361 711805 731441 3657205 21211789 106058945