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100105066 = 2173349829
BaseRepresentation
bin1011111011101…
…11101101101010
320222100212100001
411331313231222
5201111330231
613533333214
72323610335
oct575675552
9228325301
10100105066
1151563466
122963720a
131797c589
14d41b61c
158bc5b61
hex5f77b6a

100105066 has 16 divisors (see below), whose sum is σ = 151641000. Its totient is φ = 49560768.

The previous prime is 100105063. The next prime is 100105079. The reversal of 100105066 is 660501001.

It can be written as a sum of positive squares in 4 ways, for example, as 100100025 + 5041 = 10005^2 + 71^2 .

It is not an unprimeable number, because it can be changed into a prime (100105063) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 120340 + ... + 121168.

Almost surely, 2100105066 is an apocalyptic number.

100105066 is a deficient number, since it is larger than the sum of its proper divisors (51535934).

100105066 is a wasteful number, since it uses less digits than its factorization.

100105066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353.

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 100105066 is about 10005.2519208664. The cubic root of 100105066 is about 464.3213841876.

Adding to 100105066 its reverse (660501001), we get a palindrome (760606067).

The spelling of 100105066 in words is "one hundred million, one hundred five thousand, sixty-six".

Divisors: 1 2 173 346 349 698 829 1658 60377 120754 143417 286834 289321 578642 50052533 100105066