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106706908 = 227211431151
BaseRepresentation
bin1100101110000…
…11011111011100
321102210021100201
412113003133130
5204304110113
614331033244
72433664600
oct627033734
9242707321
10106706908
1155262530
122b89b824
13191514a9
1410259500
15957bcdd
hex65c37dc

106706908 has 72 divisors (see below), whose sum is σ = 242694144. Its totient is φ = 40572000.

The previous prime is 106706903. The next prime is 106706911. The reversal of 106706908 is 809607601.

It is a super-2 number, since 2×1067069082 = 22772728429840928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106706903) 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, 92133 + ... + 93283.

It is an arithmetic number, because the mean of its divisors is an integer number (3370752).

Almost surely, 2106706908 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 106706908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121347072).

106706908 is an abundant number, since it is smaller than the sum of its proper divisors (135987236).

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

106706908 is a wasteful number, since it uses less digits than its factorization.

106706908 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1223 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 106706908 is about 10329.9035813506. The cubic root of 106706908 is about 474.3120723208.

It can be divided in two parts, 10670 and 6908, that added together give a triangular number (17578 = T187).

The spelling of 106706908 in words is "one hundred six million, seven hundred six thousand, nine hundred eight".

Divisors: 1 2 4 7 11 14 22 28 43 44 49 77 86 98 154 172 196 301 308 473 539 602 946 1078 1151 1204 1892 2107 2156 2302 3311 4214 4604 6622 8057 8428 12661 13244 16114 23177 25322 32228 46354 49493 50644 56399 88627 92708 98986 112798 177254 197972 225596 346451 354508 544423 620389 692902 1088846 1240778 1385804 2177692 2425157 2481556 3810961 4850314 7621922 9700628 15243844 26676727 53353454 106706908