Base | Representation |
---|---|
bin | 1100101000001… |
… | …00000110000000 |
3 | 21101022102222000 |
4 | 12110010012000 |
5 | 204104013234 |
6 | 14302144000 |
7 | 2424221151 |
oct | 624040600 |
9 | 241272860 |
10 | 105922944 |
11 | 54877526 |
12 | 2b582000 |
13 | 18c386ca |
14 | 100d3928 |
15 | 9474899 |
hex | 6504180 |
105922944 has 64 divisors (see below), whose sum is σ = 312630000. Its totient is φ = 35306496.
The previous prime is 105922919. The next prime is 105922951. The reversal of 105922944 is 449229501.
105922944 is a `hidden beast` number, since 1 + 0 + 592 + 29 + 44 = 666.
It is a tau number, because it is divible by the number of its divisors (64).
It is a super-2 number, since 2×1059229442 = 22439340131254272, 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 = 105922899 and 105922908.
It is a congruent number.
It is an unprimeable number.
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 7 ways as a sum of consecutive naturals, for example, 11869 + ... + 18780.
Almost surely, 2105922944 is an apocalyptic number.
It is an amenable number.
105922944 is an abundant number, since it is smaller than the sum of its proper divisors (206707056).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105922944 is an equidigital number, since it uses as much as digits as its factorization.
105922944 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 30672 (or 30654 counting only the distinct ones).
The product of its (nonzero) digits is 25920, while the sum is 36.
The square root of 105922944 is about 10291.8872904827. The cubic root of 105922944 is about 473.1476430038.
The spelling of 105922944 in words is "one hundred five million, nine hundred twenty-two thousand, nine hundred forty-four".
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