| Base | Representation |
|---|---|
| bin | 1100110000000… |
| … | …00101010000000 |
| 3 | 21110021000000200 |
| 4 | 12120000222000 |
| 5 | 204340114230 |
| 6 | 14340245200 |
| 7 | 2436060162 |
| oct | 630005200 |
| 9 | 243230020 |
| 10 | 106957440 |
| 11 | 55413787 |
| 12 | 2b9a0800 |
| 13 | 1920b535 |
| 14 | 102c2932 |
| 15 | 95cb160 |
| hex | 6600a80 |
106957440 has 192 divisors, whose sum is σ = 381888000. Its totient is φ = 27555840.
The previous prime is 106957399. The next prime is 106957447. The reversal of 106957440 is 44759601.
It is a tau number, because it is divible by the number of its divisors (192).
It is a super-2 number, since 2×1069574402 = 22879787942707200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 106957395 and 106957404.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (106957447) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178261 + ... + 178859.
It is an arithmetic number, because the mean of its divisors is an integer number (1989000).
Almost surely, 2106957440 is an apocalyptic number.
106957440 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 106957440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190944000).
106957440 is an abundant number, since it is smaller than the sum of its proper divisors (274930560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106957440 is a wasteful number, since it uses less digits than its factorization.
106957440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 655 (or 640 counting only the distinct ones).
The product of its (nonzero) digits is 30240, while the sum is 36.
The square root of 106957440 is about 10342.0230129313. The cubic root of 106957440 is about 474.6829869965.
The spelling of 106957440 in words is "one hundred six million, nine hundred fifty-seven thousand, four hundred forty".
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