| Base | Representation |
|---|---|
| bin | 1100110001001… |
| … | …00101100010000 |
| 3 | 21110112111111100 |
| 4 | 12120210230100 |
| 5 | 204404330130 |
| 6 | 14343344400 |
| 7 | 2440243410 |
| oct | 630445420 |
| 9 | 243474440 |
| 10 | 107105040 |
| 11 | 55504669 |
| 12 | 2ba52100 |
| 13 | 19260783 |
| 14 | 10320640 |
| 15 | 9609c60 |
| hex | 6624b10 |
107105040 has 240 divisors, whose sum is σ = 417830400. Its totient is φ = 24081408.
The previous prime is 107105039. The next prime is 107105041. The reversal of 107105040 is 40501701.
It is an interprime number because it is at equal distance from previous prime (107105039) and next prime (107105041).
It is a tau number, because it is divible by the number of its divisors (240).
It is a super-2 number, since 2×1071050402 = 22942979186803200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (107105041) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 398026 + ... + 398294.
It is an arithmetic number, because the mean of its divisors is an integer number (1740960).
Almost surely, 2107105040 is an apocalyptic number.
107105040 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 107105040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208915200).
107105040 is an abundant number, since it is smaller than the sum of its proper divisors (310725360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
107105040 is a wasteful number, since it uses less digits than its factorization.
107105040 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 374 (or 365 counting only the distinct ones).
The product of its (nonzero) digits is 140, while the sum is 18.
The square root of 107105040 is about 10349.1564873665. The cubic root of 107105040 is about 474.9012389317.
Adding to 107105040 its reverse (40501701), we get a palindrome (147606741).
The spelling of 107105040 in words is "one hundred seven million, one hundred five thousand, forty".
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