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106023141 = 337560969
BaseRepresentation
bin1100101000111…
…00100011100101
321101111112102000
412110130203211
5204120220031
614304235513
72425116240
oct624344345
9241445360
10106023141
1154935834
122b60bb99
1318c721b3
141011c257
1594943e6
hex651c8e5

106023141 has 16 divisors (see below), whose sum is σ = 179510400. Its totient is φ = 60584544.

The previous prime is 106023133. The next prime is 106023143. The reversal of 106023141 is 141320601.

It is a happy number.

It is not a de Polignac number, because 106023141 - 23 = 106023133 is a prime.

It is a super-2 number, since 2×1060231412 = 22481812855011762, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106023143) 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 15 ways as a sum of consecutive naturals, for example, 280296 + ... + 280673.

It is an arithmetic number, because the mean of its divisors is an integer number (11219400).

Almost surely, 2106023141 is an apocalyptic number.

It is an amenable number.

106023141 is a deficient number, since it is larger than the sum of its proper divisors (73487259).

106023141 is an equidigital number, since it uses as much as digits as its factorization.

106023141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560985 (or 560979 counting only the distinct ones).

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

The square root of 106023141 is about 10296.7539059647. The cubic root of 106023141 is about 473.2967861200.

Adding to 106023141 its reverse (141320601), we get a palindrome (247343742).

The spelling of 106023141 in words is "one hundred six million, twenty-three thousand, one hundred forty-one".

Divisors: 1 3 7 9 21 27 63 189 560969 1682907 3926783 5048721 11780349 15146163 35341047 106023141