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107018208 = 25321123783
BaseRepresentation
bin1100110000011…
…11011111100000
321110101002101100
412120033133200
5204344040313
614341434400
72436432303
oct630173740
9243332340
10107018208
1155455400
122ba0ba00
13192300ab
14102dab3a
1595de173
hex660f7e0

107018208 has 216 divisors, whose sum is σ = 347694984. Its totient is φ = 31173120.

The previous prime is 107018189. The next prime is 107018209. The reversal of 107018208 is 802810701.

It is a super-2 number, since 2×1070182082 = 22905793687062528, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107018209) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1289335 + ... + 1289417.

It is an arithmetic number, because the mean of its divisors is an integer number (1609699).

Almost surely, 2107018208 is an apocalyptic number.

107018208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107018208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173847492).

107018208 is an abundant number, since it is smaller than the sum of its proper divisors (240676776).

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

107018208 is a wasteful number, since it uses less digits than its factorization.

107018208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 107018208 is about 10344.9605122494. The cubic root of 107018208 is about 474.7728672162.

Adding to 107018208 its reverse (802810701), we get a palindrome (909828909).

The spelling of 107018208 in words is "one hundred seven million, eighteen thousand, two hundred eight".