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106408105 = 529733849
BaseRepresentation
bin1100101011110…
…10100010101001
321102020002110221
412111322202221
5204220024410
614320410041
72431311466
oct625724251
9242202427
10106408105
1155078a91
122b776921
131907849b
14101bc66d
15951d4da
hex657a8a9

106408105 has 8 divisors (see below), whose sum is σ = 132093000. Its totient is φ = 82190976.

The previous prime is 106408103. The next prime is 106408111. The reversal of 106408105 is 501804601.

It can be written as a sum of positive squares in 4 ways, for example, as 3426201 + 102981904 = 1851^2 + 10148^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106408105 - 21 = 106408103 is a prime.

It is a super-2 number, since 2×1064081052 = 22645369619382050, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106408105.

It is not an unprimeable number, because it can be changed into a prime (106408103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 366780 + ... + 367069.

It is an arithmetic number, because the mean of its divisors is an integer number (16511625).

Almost surely, 2106408105 is an apocalyptic number.

It is an amenable number.

106408105 is a deficient number, since it is larger than the sum of its proper divisors (25684895).

106408105 is an equidigital number, since it uses as much as digits as its factorization.

106408105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733883.

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 106408105 is about 10315.4304321245. The cubic root of 106408105 is about 473.8689321126.

The spelling of 106408105 in words is "one hundred six million, four hundred eight thousand, one hundred five".

Divisors: 1 5 29 145 733849 3669245 21281621 106408105