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106508815 = 574764747
BaseRepresentation
bin1100101100100…
…11001000001111
321102102012121221
412112103020033
5204231240230
614322504211
72432211220
oct626231017
9242365557
10106508815
1155137716
122b805067
13190b228a
1410207247
15953d27a
hex659320f

106508815 has 16 divisors (see below), whose sum is σ = 149179392. Its totient is φ = 71479584.

The previous prime is 106508783. The next prime is 106508819. The reversal of 106508815 is 518805601.

It is a cyclic number.

It is not a de Polignac number, because 106508815 - 25 = 106508783 is a prime.

It is a super-2 number, since 2×1065088152 = 22688255345408450, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106508819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30729 + ... + 34018.

It is an arithmetic number, because the mean of its divisors is an integer number (9323712).

Almost surely, 2106508815 is an apocalyptic number.

106508815 is a deficient number, since it is larger than the sum of its proper divisors (42670577).

106508815 is an equidigital number, since it uses as much as digits as its factorization.

106508815 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64806.

The product of its (nonzero) digits is 9600, while the sum is 34.

The square root of 106508815 is about 10320.3107995835. The cubic root of 106508815 is about 474.0183827964.

The spelling of 106508815 in words is "one hundred six million, five hundred eight thousand, eight hundred fifteen".

Divisors: 1 5 7 35 47 235 329 1645 64747 323735 453229 2266145 3043109 15215545 21301763 106508815