| Base | Representation |
|---|---|
| bin | 110001100101100100… |
| … | …0100101100010000000 |
| 3 | 101011212021112022200200 |
| 4 | 1203023020211202000 |
| 5 | 3221041213201312 |
| 6 | 120530343045200 |
| 7 | 10456565420040 |
| oct | 1431310454200 |
| 9 | 334767468620 |
| 10 | 106487240832 |
| 11 | 411852a9165 |
| 12 | 1877a440800 |
| 13 | a070813b9b |
| 14 | 5222863720 |
| 15 | 2b83a1a0dc |
| hex | 18cb225880 |
106487240832 has 384 divisors, whose sum is σ = 361922895360. Its totient is φ = 29417250816.
The previous prime is 106487240807. The next prime is 106487240887. The reversal of 106487240832 is 238042784601.
It is a happy number.
106487240832 is a `hidden beast` number, since 106 + 48 + 72 + 408 + 32 = 666.
106487240832 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 (384).
It is a super-2 number, since 2×1064872408322 (a number of 23 digits) contains 22 as substring.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51616633 + ... + 51618695.
It is an arithmetic number, because the mean of its divisors is an integer number (942507540).
Almost surely, 2106487240832 is an apocalyptic number.
106487240832 is a gapful number since it is divisible by the number (12) 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 106487240832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180961447680).
106487240832 is an abundant number, since it is smaller than the sum of its proper divisors (255435654528).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106487240832 is a wasteful number, since it uses less digits than its factorization.
106487240832 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2300 (or 2285 counting only the distinct ones).
The product of its (nonzero) digits is 516096, while the sum is 45.
The spelling of 106487240832 in words is "one hundred six billion, four hundred eighty-seven million, two hundred forty thousand, eight hundred thirty-two".
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