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106983801 = 334196643
BaseRepresentation
bin1100110000001…
…11000101111001
321110022100012000
412120013011321
5204341440201
614341011213
72436230061
oct630070571
9243270160
10106983801
1155431571
122b9b3b09
131921a532
14102cc3a1
1595d3d86
hex6607179

106983801 has 16 divisors (see below), whose sum is σ = 162361920. Its totient is φ = 69582240.

The previous prime is 106983769. The next prime is 106983817. The reversal of 106983801 is 108389601.

It is not a de Polignac number, because 106983801 - 25 = 106983769 is a prime.

It is a super-2 number, since 2×1069838012 = 22891067352815202, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106983881) 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, 47215 + ... + 49428.

It is an arithmetic number, because the mean of its divisors is an integer number (10147620).

Almost surely, 2106983801 is an apocalyptic number.

It is an amenable number.

106983801 is a deficient number, since it is larger than the sum of its proper divisors (55378119).

106983801 is an equidigital number, since it uses as much as digits as its factorization.

106983801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96693 (or 96687 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 106983801 is about 10343.2973949317. The cubic root of 106983801 is about 474.7219809813.

The spelling of 106983801 in words is "one hundred six million, nine hundred eighty-three thousand, eight hundred one".

Divisors: 1 3 9 27 41 123 369 1107 96643 289929 869787 2609361 3962363 11887089 35661267 106983801