| Base | Representation |
|---|---|
| bin | 110001000101110100… |
| … | …1001011111101110000 |
| 3 | 101002010001011202202200 |
| 4 | 1202023221023331300 |
| 5 | 3211401020420130 |
| 6 | 120232532143200 |
| 7 | 10421312411664 |
| oct | 1421351137560 |
| 9 | 332101152680 |
| 10 | 105422045040 |
| 11 | 40788aa5864 |
| 12 | 18521767b00 |
| 13 | 9c30c2ab10 |
| 14 | 51611c48a4 |
| 15 | 2b2025b760 |
| hex | 188ba4bf70 |
105422045040 has 240 divisors, whose sum is σ = 385563447360. Its totient is φ = 25658265600.
The previous prime is 105422045021. The next prime is 105422045041. The reversal of 105422045040 is 40540224501.
105422045040 is a `hidden beast` number, since 10 + 542 + 20 + 4 + 50 + 40 = 666.
It is a tau number, because it is divible by the number of its divisors (240).
It is a super-2 number, since 2×1054220450402 (a number of 23 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 105422044995 and 105422045013.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (105422045041) 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 47 ways as a sum of consecutive naturals, for example, 769765 + ... + 896315.
It is an arithmetic number, because the mean of its divisors is an integer number (1606514364).
Almost surely, 2105422045040 is an apocalyptic number.
105422045040 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 105422045040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192781723680).
105422045040 is an abundant number, since it is smaller than the sum of its proper divisors (280141402320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105422045040 is a wasteful number, since it uses less digits than its factorization.
105422045040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 126672 (or 126663 counting only the distinct ones).
The product of its (nonzero) digits is 6400, while the sum is 27.
Adding to 105422045040 its reverse (40540224501), we get a palindrome (145962269541).
The spelling of 105422045040 in words is "one hundred five billion, four hundred twenty-two million, forty-five thousand, forty".
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