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106550106 = 2313359137
BaseRepresentation
bin1100101100111…
…01001101011010
321102111022021020
412112131031122
5204234100411
614323423310
72432442465
oct626351532
9242438236
10106550106
1155165743
122b824b36
13190c8000
14102182dc
15954a606
hex659d35a

106550106 has 64 divisors (see below), whose sum is σ = 236476800. Its totient is φ = 31993728.

The previous prime is 106550083. The next prime is 106550107. The reversal of 106550106 is 601055601.

It is a super-2 number, since 2×1065501062 = 22705850177222472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106550107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 777670 + ... + 777806.

It is an arithmetic number, because the mean of its divisors is an integer number (3694950).

Almost surely, 2106550106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106550106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118238400).

106550106 is an abundant number, since it is smaller than the sum of its proper divisors (129926694).

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

106550106 is a wasteful number, since it uses less digits than its factorization.

106550106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 106550106 is about 10322.3110784359. The cubic root of 106550106 is about 474.0796301973.

The spelling of 106550106 in words is "one hundred six million, five hundred fifty thousand, one hundred six".

Divisors: 1 2 3 6 13 26 39 59 78 118 137 169 177 274 338 354 411 507 767 822 1014 1534 1781 2197 2301 3562 4394 4602 5343 6591 8083 9971 10686 13182 16166 19942 23153 24249 29913 46306 48498 59826 69459 105079 129623 138918 210158 259246 300989 315237 388869 601978 630474 777738 902967 1366027 1805934 2732054 4098081 8196162 17758351 35516702 53275053 106550106