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106708206 = 231121031427
BaseRepresentation
bin1100101110000…
…11110011101110
321102210100010210
412113003303232
5204304130311
614331043250
72434001433
oct627036356
9242710123
10106708206
1155263500
122b8a0526
1319151c67
1410259b8a
15957c3a6
hex65c3cee

106708206 has 48 divisors (see below), whose sum is σ = 237025152. Its totient is φ = 31999440.

The previous prime is 106708193. The next prime is 106708207. The reversal of 106708206 is 602807601.

It is a happy number.

It is a super-3 number, since 3×1067082063 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106708207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74065 + ... + 75491.

It is an arithmetic number, because the mean of its divisors is an integer number (4938024).

Almost surely, 2106708206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106708206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118512576).

106708206 is an abundant number, since it is smaller than the sum of its proper divisors (130316946).

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

106708206 is a wasteful number, since it uses less digits than its factorization.

106708206 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1557 (or 1546 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 106708206 is about 10329.9664084643. The cubic root of 106708206 is about 474.3139955158.

The spelling of 106708206 in words is "one hundred six million, seven hundred eight thousand, two hundred six".

Divisors: 1 2 3 6 11 22 33 66 103 121 206 242 309 363 618 726 1133 1427 2266 2854 3399 4281 6798 8562 12463 15697 24926 31394 37389 47091 74778 94182 146981 172667 293962 345334 440943 518001 881886 1036002 1616791 3233582 4850373 9700746 17784701 35569402 53354103 106708206