| Base | Representation |
|---|---|
| bin | 1100100100111… |
| … | …10001010100000 |
| 3 | 21100112020020220 |
| 4 | 12102132022200 |
| 5 | 204002133230 |
| 6 | 14245203040 |
| 7 | 2420532015 |
| oct | 622361240 |
| 9 | 240466226 |
| 10 | 105505440 |
| 11 | 54611887 |
| 12 | 2b400480 |
| 13 | 18b20671 |
| 14 | 1002570c |
| 15 | 93e0d10 |
| hex | 649e2a0 |
105505440 has 96 divisors (see below), whose sum is σ = 337006656. Its totient is φ = 27740160.
The previous prime is 105505427. The next prime is 105505441. The reversal of 105505440 is 44505501.
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-2 number, since 2×1055054402 = 22262795739187200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a self number, because there is not a number n which added to its sum of digits gives 105505440.
It is not an unprimeable number, because it can be changed into a prime (105505441) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33535 + ... + 36545.
It is an arithmetic number, because the mean of its divisors is an integer number (3510486).
Almost surely, 2105505440 is an apocalyptic number.
105505440 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 105505440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168503328).
105505440 is an abundant number, since it is smaller than the sum of its proper divisors (231501216).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105505440 is a wasteful number, since it uses less digits than its factorization.
105505440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3102 (or 3094 counting only the distinct ones).
The product of its (nonzero) digits is 2000, while the sum is 24.
The square root of 105505440 is about 10271.5841037301. The cubic root of 105505440 is about 472.5251743257.
The spelling of 105505440 in words is "one hundred five million, five hundred five thousand, four hundred forty".
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