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106361682 = 23731151541
BaseRepresentation
bin1100101011011…
…11001101010010
321102010201210120
412111233031102
5204212033212
614315411110
72431026240
oct625571522
9242121716
10106361682
1155047119
122b753a96
131906030b
14101a9790
15950e88c
hex656f352

106361682 has 64 divisors (see below), whose sum is σ = 253083648. Its totient is φ = 29160000.

The previous prime is 106361669. The next prime is 106361699. The reversal of 106361682 is 286163601.

It is a super-2 number, since 2×1063616822 = 22625614795738248, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 196332 + ... + 196872.

It is an arithmetic number, because the mean of its divisors is an integer number (3954432).

Almost surely, 2106361682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106361682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126541824).

106361682 is an abundant number, since it is smaller than the sum of its proper divisors (146721966).

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

106361682 is a wasteful number, since it uses less digits than its factorization.

106361682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735.

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 106361682 is about 10313.1800139433. The cubic root of 106361682 is about 473.8000099902.

The spelling of 106361682 in words is "one hundred six million, three hundred sixty-one thousand, six hundred eighty-two".

Divisors: 1 2 3 6 7 14 21 31 42 62 93 151 186 217 302 434 453 541 651 906 1057 1082 1302 1623 2114 3171 3246 3787 4681 6342 7574 9362 11361 14043 16771 22722 28086 32767 33542 50313 65534 81691 98301 100626 117397 163382 196602 234794 245073 352191 490146 571837 704382 1143674 1715511 2532421 3431022 5064842 7597263 15194526 17726947 35453894 53180841 106361682