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106911216 = 2432742439
BaseRepresentation
bin1100101111101…
…01010111110000
321110011122121200
412113311113300
5204332124331
614335251200
72435505336
oct627652760
9243148550
10106911216
1155391a85
122b979b00
13191c3499
14102adb56
1595bc5e6
hex65f55f0

106911216 has 30 divisors (see below), whose sum is σ = 299203320. Its totient is φ = 35637024.

The previous prime is 106911209. The next prime is 106911239. The reversal of 106911216 is 612119601.

It is a super-2 number, since 2×1069112162 = 22860016213197312, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106911216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 371076 + ... + 371363.

It is an arithmetic number, because the mean of its divisors is an integer number (9973444).

Almost surely, 2106911216 is an apocalyptic number.

106911216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106911216 is an abundant number, since it is smaller than the sum of its proper divisors (192292104).

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

106911216 is a wasteful number, since it uses less digits than its factorization.

106911216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742453 (or 742444 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 106911216 is about 10339.7880055638. The cubic root of 106911216 is about 474.6145955939.

The spelling of 106911216 in words is "one hundred six million, nine hundred eleven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 742439 1484878 2227317 2969756 4454634 5939512 6681951 8909268 11879024 13363902 17818536 26727804 35637072 53455608 106911216