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100466005 = 5172953769
BaseRepresentation
bin1011111110011…
…11110101010101
321000001012110011
411333033311111
5201204403010
613545200221
72326642543
oct577176525
9230035404
10100466005
115178a662
1229790071
1317a77953
14d4b2d93
158c47a8a
hex5fcfd55

100466005 has 32 divisors (see below), whose sum is σ = 134719200. Its totient is φ = 71565312.

The previous prime is 100465997. The next prime is 100466021. The reversal of 100466005 is 500664001.

It can be written as a sum of positive squares in 16 ways, for example, as 5870929 + 94595076 = 2423^2 + 9726^2 .

It is a cyclic number.

It is not a de Polignac number, because 100466005 - 23 = 100465997 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130261 + ... + 131029.

It is an arithmetic number, because the mean of its divisors is an integer number (4209975).

Almost surely, 2100466005 is an apocalyptic number.

It is an amenable number.

100466005 is a deficient number, since it is larger than the sum of its proper divisors (34253195).

100466005 is a wasteful number, since it uses less digits than its factorization.

100466005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873.

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 100466005 is about 10023.2731679826. The cubic root of 100466005 is about 464.8787674861.

The spelling of 100466005 in words is "one hundred million, four hundred sixty-six thousand, five".

Divisors: 1 5 17 29 53 85 145 265 493 769 901 1537 2465 3845 4505 7685 13073 22301 26129 40757 65365 111505 130645 203785 379117 692869 1181953 1895585 3464345 5909765 20093201 100466005