| Base | Representation |
|---|---|
| bin | 1100110001000… |
| … | …00000001110100 |
| 3 | 21110111112021221 |
| 4 | 12120200001310 |
| 5 | 204403222230 |
| 6 | 14343120124 |
| 7 | 2440133623 |
| oct | 630400164 |
| 9 | 243445257 |
| 10 | 107085940 |
| 11 | 554a1285 |
| 12 | 2ba43044 |
| 13 | 19254b80 |
| 14 | 103176ba |
| 15 | 960427a |
| hex | 6620074 |
107085940 has 48 divisors (see below), whose sum is σ = 243326160. Its totient is φ = 39352320.
The previous prime is 107085931. The next prime is 107085949. The reversal of 107085940 is 49580701.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (107085931) and next prime (107085949).
It can be written as a sum of positive squares in 8 ways, for example, as 9511056 + 97574884 = 3084^2 + 9878^2 .
It is a super-2 number, since 2×1070859402 = 22934797091367200, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 107085896 and 107085905.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (107085949) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61806 + ... + 63514.
It is an arithmetic number, because the mean of its divisors is an integer number (5069295).
Almost surely, 2107085940 is an apocalyptic number.
107085940 is a gapful number since it is divisible by the number (10) 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 107085940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121663080).
107085940 is an abundant number, since it is smaller than the sum of its proper divisors (136240220).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
107085940 is a wasteful number, since it uses less digits than its factorization.
107085940 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1972 (or 1970 counting only the distinct ones).
The product of its (nonzero) digits is 10080, while the sum is 34.
The square root of 107085940 is about 10348.2336657035. The cubic root of 107085940 is about 474.8730076025.
The spelling of 107085940 in words is "one hundred seven million, eighty-five thousand, nine hundred forty".
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