| Base | Representation |
|---|---|
| bin | 1100100100000… |
| … | …10111100101000 |
| 3 | 21100022120100000 |
| 4 | 12102002330220 |
| 5 | 203440101320 |
| 6 | 14242543000 |
| 7 | 2416556010 |
| oct | 622027450 |
| 9 | 240276300 |
| 10 | 105393960 |
| 11 | 54546051 |
| 12 | 2b367a60 |
| 13 | 18ab19b9 |
| 14 | ddd6c40 |
| 15 | 93bcc90 |
| hex | 6482f28 |
105393960 has 192 divisors, whose sum is σ = 406224000. Its totient is φ = 24074496.
The previous prime is 105393949. The next prime is 105393973. The reversal of 105393960 is 69393501.
It is a super-2 number, since 2×1053939602 = 22215773608963200, which contains 22 as substring.
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
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 47 ways as a sum of consecutive naturals, for example, 67266 + ... + 68814.
It is an arithmetic number, because the mean of its divisors is an integer number (2115750).
Almost surely, 2105393960 is an apocalyptic number.
105393960 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 105393960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203112000).
105393960 is an abundant number, since it is smaller than the sum of its proper divisors (300830040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105393960 is a wasteful number, since it uses less digits than its factorization.
105393960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1582 (or 1566 counting only the distinct ones).
The product of its (nonzero) digits is 21870, while the sum is 36.
The square root of 105393960 is about 10266.1560479081. The cubic root of 105393960 is about 472.3586879003.
It can be divided in two parts, 10 and 5393960, that added together give a triangular number (5393970 = T3284).
The spelling of 105393960 in words is "one hundred five million, three hundred ninety-three thousand, nine hundred sixty".
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