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106112421 = 3229406561
BaseRepresentation
bin1100101001100…
…10010110100101
321101200001212200
412110302112211
5204131044141
614310205113
72425640442
oct624622645
9241601780
10106112421
1154996918
122b653799
1318ca3a1c
14101429c9
1594b0ab6
hex65325a5

106112421 has 12 divisors (see below), whose sum is σ = 158559180. Its totient is φ = 68302080.

The previous prime is 106112407. The next prime is 106112423. The reversal of 106112421 is 124211601.

106112421 is a `hidden beast` number, since 10 + 611 + 2 + 42 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 31203396 + 74909025 = 5586^2 + 8655^2 .

It is not a de Polignac number, because 106112421 - 214 = 106096037 is a prime.

It is a super-2 number, since 2×1061124212 = 22519691780962482, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106112394 and 106112403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106112423) 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 11 ways as a sum of consecutive naturals, for example, 203020 + ... + 203541.

It is an arithmetic number, because the mean of its divisors is an integer number (13213265).

Almost surely, 2106112421 is an apocalyptic number.

It is an amenable number.

106112421 is a deficient number, since it is larger than the sum of its proper divisors (52446759).

106112421 is a wasteful number, since it uses less digits than its factorization.

106112421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406596 (or 406593 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 106112421 is about 10301.0883405590. The cubic root of 106112421 is about 473.4296001492.

The spelling of 106112421 in words is "one hundred six million, one hundred twelve thousand, four hundred twenty-one".

Divisors: 1 3 9 29 87 261 406561 1219683 3659049 11790269 35370807 106112421