| Base | Representation |
|---|---|
| bin | 110001011011000100… |
| … | …0101111101101000000 |
| 3 | 101010221201122122120000 |
| 4 | 1202312020233231000 |
| 5 | 3214331022222320 |
| 6 | 120431400320000 |
| 7 | 10445060166030 |
| oct | 1426610575500 |
| 9 | 333851578500 |
| 10 | 106134960960 |
| 11 | 41014467076 |
| 12 | 186a0473000 |
| 13 | a015840062 |
| 14 | 51cbb618c0 |
| 15 | 2b62b30c90 |
| hex | 18b622fb40 |
106134960960 has 1120 divisors, whose sum is σ = 466291330560. Its totient is φ = 22378954752.
The previous prime is 106134960929. The next prime is 106134960977. The reversal of 106134960960 is 69069431601.
106134960960 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 34 + 9 + 609 + 6 + 0 = 666.
106134960960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (1120).
It is a super-2 number, since 2×1061349609602 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 121020042 + ... + 121020918.
Almost surely, 2106134960960 is an apocalyptic number.
106134960960 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 106134960960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233145665280).
106134960960 is an abundant number, since it is smaller than the sum of its proper divisors (360156369600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106134960960 is a wasteful number, since it uses less digits than its factorization.
106134960960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 965 (or 946 counting only the distinct ones).
The product of its (nonzero) digits is 209952, while the sum is 45.
The spelling of 106134960960 in words is "one hundred six billion, one hundred thirty-four million, nine hundred sixty thousand, nine hundred sixty".
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