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106436241 = 337875009
BaseRepresentation
bin1100101100000…
…01011010010001
321102021112002000
412112001122101
5204221424431
614321144213
72431456512
oct626013221
9242245060
10106436241
115509813a
122b78b069
1319088232
14101c8a09
1595269e6
hex6581691

106436241 has 16 divisors (see below), whose sum is σ = 157915200. Its totient is φ = 70853184.

The previous prime is 106436179. The next prime is 106436251. The reversal of 106436241 is 142634601.

106436241 is a `hidden beast` number, since 10 + 643 + 6 + 2 + 4 + 1 = 666.

It is not a de Polignac number, because 106436241 - 211 = 106434193 is a prime.

It is a super-2 number, since 2×1064362412 = 22657346796420162, which contains 22 as substring.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106436251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18745 + ... + 23753.

It is an arithmetic number, because the mean of its divisors is an integer number (9869700).

Almost surely, 2106436241 is an apocalyptic number.

It is an amenable number.

106436241 is a deficient number, since it is larger than the sum of its proper divisors (51478959).

106436241 is an equidigital number, since it uses as much as digits as its factorization.

106436241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5805 (or 5799 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 106436241 is about 10316.7941241453. The cubic root of 106436241 is about 473.9106945997.

The spelling of 106436241 in words is "one hundred six million, four hundred thirty-six thousand, two hundred forty-one".

Divisors: 1 3 9 27 787 2361 5009 7083 15027 21249 45081 135243 3942083 11826249 35478747 106436241