| Base | Representation |
|---|---|
| bin | 110001011110111111… |
| … | …0100010111100000000 |
| 3 | 101011021220011210000000 |
| 4 | 1202331332202330000 |
| 5 | 3220113211124320 |
| 6 | 120452420000000 |
| 7 | 10451245250160 |
| oct | 1427576427400 |
| 9 | 334256153000 |
| 10 | 106266504960 |
| 11 | 41081743020 |
| 12 | 18718530000 |
| 13 | a036b79545 |
| 14 | 52014045a0 |
| 15 | 2b6e466c90 |
| hex | 18bdfa2f00 |
106266504960 has 2304 divisors, whose sum is σ = 521327923200. Its totient is φ = 20065812480.
The previous prime is 106266504919. The next prime is 106266504961. The reversal of 106266504960 is 69405662601.
106266504960 is a `hidden beast` number, since 10 + 626 + 6 + 5 + 0 + 4 + 9 + 6 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (2304).
It is a super-2 number, since 2×1062665049602 (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 not an unprimeable number, because it can be changed into a prime (106266504961) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3664362226 + ... + 3664362254.
It is an arithmetic number, because the mean of its divisors is an integer number (226270800).
Almost surely, 2106266504960 is an apocalyptic number.
106266504960 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 106266504960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260663961600).
106266504960 is an abundant number, since it is smaller than the sum of its proper divisors (415061418240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106266504960 is an equidigital number, since it uses as much as digits as its factorization.
106266504960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 106 (or 74 counting only the distinct ones).
The product of its (nonzero) digits is 466560, while the sum is 45.
The spelling of 106266504960 in words is "one hundred six billion, two hundred sixty-six million, five hundred four thousand, nine hundred sixty".
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