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106208091 = 3411199599
BaseRepresentation
bin1100101010010…
…01101101011011
321101211221010000
412111021231123
5204142124331
614312224043
72426516403
oct625115533
9241757100
10106208091
1154a51790
122b69b023
1319008432
1410169803
1594ce0e6
hex6549b5b

106208091 has 40 divisors (see below), whose sum is σ = 174240000. Its totient is φ = 63938160.

The previous prime is 106208071. The next prime is 106208101. The reversal of 106208091 is 190802601.

It is not a de Polignac number, because 106208091 - 25 = 106208059 is a prime.

It is a super-2 number, since 2×1062080912 = 22560317187728562, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (106208021) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 177010 + ... + 177608.

It is an arithmetic number, because the mean of its divisors is an integer number (4356000).

Almost surely, 2106208091 is an apocalyptic number.

106208091 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

106208091 is a deficient number, since it is larger than the sum of its proper divisors (68031909).

106208091 is a wasteful number, since it uses less digits than its factorization.

106208091 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 106208091 is about 10305.7309784411. The cubic root of 106208091 is about 473.5718373611.

The spelling of 106208091 in words is "one hundred six million, two hundred eight thousand, ninety-one".

Divisors: 1 3 9 11 27 33 81 99 199 297 597 599 891 1791 1797 2189 5373 5391 6567 6589 16119 16173 19701 19767 48519 59103 59301 119201 177309 177903 357603 533709 1072809 1311211 3218427 3933633 9655281 11800899 35402697 106208091