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106421166 = 23219311173
BaseRepresentation
bin1100101011111…
…01101110101110
321102020202101200
412111331232232
5204220434131
614320550330
72431364535
oct625755656
9242222350
10106421166
1155087885
122b7823a6
1319081407
14101c331c
1595222e6
hex657dbae

106421166 has 24 divisors (see below), whose sum is σ = 242715720. Its totient is φ = 33606576.

The previous prime is 106421143. The next prime is 106421167. The reversal of 106421166 is 661124601.

106421166 is a `hidden beast` number, since 1 + 0 + 642 + 1 + 16 + 6 = 666.

It is a super-2 number, since 2×1064211662 = 22650929145599112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106421167) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 155245 + ... + 155928.

It is an arithmetic number, because the mean of its divisors is an integer number (10113155).

Almost surely, 2106421166 is an apocalyptic number.

106421166 is an abundant number, since it is smaller than the sum of its proper divisors (136294554).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106421166 is a wasteful number, since it uses less digits than its factorization.

106421166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311200 (or 311197 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 106421166 is about 10316.0634934068. The cubic root of 106421166 is about 473.8883195735. Note that the first 3 decimals are identical.

Adding to 106421166 its reverse (661124601), we get a palindrome (767545767).

The spelling of 106421166 in words is "one hundred six million, four hundred twenty-one thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 311173 622346 933519 1867038 2800557 5601114 5912287 11824574 17736861 35473722 53210583 106421166