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106040601 = 3247250687
BaseRepresentation
bin1100101001000…
…00110100011001
321101112102100200
412110200310121
5204121244401
614304452413
72425221162
oct624406431
9241472320
10106040601
1154947967
122b61a109
1318c7a124
1410124769
159499686
hex6520d19

106040601 has 12 divisors (see below), whose sum is σ = 156429312. Its totient is φ = 69189336.

The previous prime is 106040593. The next prime is 106040609.

106040601 is a `hidden beast` number, since 1 + 0 + 60 + 4 + 0 + 601 = 666.

106040601 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (106040593) and next prime (106040609).

It is not a de Polignac number, because 106040601 - 23 = 106040593 is a prime.

It is a super-2 number, since 2×1060406012 = 22489218120882402, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106040609) 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 11 ways as a sum of consecutive naturals, for example, 124921 + ... + 125766.

It is an arithmetic number, because the mean of its divisors is an integer number (13035776).

Almost surely, 2106040601 is an apocalyptic number.

It is an amenable number.

106040601 is a deficient number, since it is larger than the sum of its proper divisors (50388711).

106040601 is a wasteful number, since it uses less digits than its factorization.

106040601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250740 (or 250737 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 106040601 is about 10297.6017110782. The cubic root of 106040601 is about 473.3227656945.

The spelling of 106040601 in words is "one hundred six million, forty thousand, six hundred one".

Divisors: 1 3 9 47 141 423 250687 752061 2256183 11782289 35346867 106040601