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106230042 = 2341722269
BaseRepresentation
bin1100101010011…
…11000100011010
321101220001020000
412111033010122
5204143330132
614312513430
72426640402
oct625170432
9241801200
10106230042
1154a67226
122b6ab876
1319015419
1410173802
1594d587c
hex654f11a

106230042 has 60 divisors (see below), whose sum is σ = 252971070. Its totient is φ = 33312384.

The previous prime is 106230037. The next prime is 106230043. The reversal of 106230042 is 240032601.

It is a happy number.

106230042 is a `hidden beast` number, since 1 + 0 + 623 + 0 + 0 + 42 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 91183401 + 15046641 = 9549^2 + 3879^2 .

It is a super-2 number, since 2×1062300422 = 22569643646643528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 106229997 and 106230024.

It is not an unprimeable number, because it can be changed into a prime (106230043) 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 29 ways as a sum of consecutive naturals, for example, 45684 + ... + 47952.

Almost surely, 2106230042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106230042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126485535).

106230042 is an abundant number, since it is smaller than the sum of its proper divisors (146741028).

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

106230042 is a wasteful number, since it uses less digits than its factorization.

106230042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2317 (or 2291 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 106230042 is about 10306.7959133768. The cubic root of 106230042 is about 473.6044609250.

Adding to 106230042 its reverse (240032601), we get a palindrome (346262643).

The spelling of 106230042 in words is "one hundred six million, two hundred thirty thousand, forty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 289 306 459 578 867 918 1377 1734 2269 2601 2754 4538 5202 6807 7803 13614 15606 20421 23409 38573 40842 46818 61263 77146 115719 122526 183789 231438 347157 367578 655741 694314 1041471 1311482 1967223 2082942 3124413 3934446 5901669 6248826 11803338 17705007 35410014 53115021 106230042