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106510026 = 2372615939
BaseRepresentation
bin1100101100100…
…11011011001010
321102102021021210
412112103123022
5204231310101
614322513550
72432214600
oct626233312
9242367253
10106510026
1155138617
122b8058b6
13190b29ac
1410207870
15953d7d6
hex65936ca

106510026 has 48 divisors (see below), whose sum is σ = 251903520. Its totient is φ = 29927520.

The previous prime is 106509979. The next prime is 106510043. The reversal of 106510026 is 620015601.

It is a happy number.

It is a super-2 number, since 2×1065100262 = 22688771277041352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 106509984 and 106510011.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14965 + ... + 20903.

It is an arithmetic number, because the mean of its divisors is an integer number (5247990).

Almost surely, 2106510026 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106510026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125951760).

106510026 is an abundant number, since it is smaller than the sum of its proper divisors (145393494).

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

106510026 is a wasteful number, since it uses less digits than its factorization.

106510026 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6019 (or 6012 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 106510026 is about 10320.3694701304. The cubic root of 106510026 is about 474.0201793115.

Adding to 106510026 its reverse (620015601), we get a palindrome (726525627).

The spelling of 106510026 in words is "one hundred six million, five hundred ten thousand, twenty-six".

Divisors: 1 2 3 6 7 14 21 42 49 61 98 122 147 183 294 366 427 854 1281 2562 2989 5939 5978 8967 11878 17817 17934 35634 41573 83146 124719 249438 291011 362279 582022 724558 873033 1086837 1746066 2173674 2535953 5071906 7607859 15215718 17751671 35503342 53255013 106510026