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106141028 = 22743199443
BaseRepresentation
bin1100101001110…
…01010101100100
321101201112010012
412110321111210
5204133003103
614310545352
72426120030
oct624712544
9241645105
10106141028
1154a06364
122b668258
1318cb3a56
141014d1c0
1594b92d8
hex6539564

106141028 has 48 divisors (see below), whose sum is σ = 218803200. Its totient is φ = 44108064.

The previous prime is 106141027. The next prime is 106141031. The reversal of 106141028 is 820141601.

It is a super-2 number, since 2×1061410282 = 22531835649793568, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106140994 and 106141012.

It is not an unprimeable number, because it can be changed into a prime (106141027) 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, 239375 + ... + 239817.

It is an arithmetic number, because the mean of its divisors is an integer number (4558400).

Almost surely, 2106141028 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106141028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109401600).

106141028 is an abundant number, since it is smaller than the sum of its proper divisors (112662172).

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

106141028 is a wasteful number, since it uses less digits than its factorization.

106141028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 106141028 is about 10302.4767895880. The cubic root of 106141028 is about 473.4721405152.

Adding to 106141028 its reverse (820141601), we get a palindrome (926282629).

The spelling of 106141028 in words is "one hundred six million, one hundred forty-one thousand, twenty-eight".

Divisors: 1 2 4 7 14 28 43 86 172 199 301 398 443 602 796 886 1204 1393 1772 2786 3101 5572 6202 8557 12404 17114 19049 34228 38098 59899 76196 88157 119798 133343 176314 239596 266686 352628 533372 617099 1234198 2468396 3790751 7581502 15163004 26535257 53070514 106141028