| Base | Representation |
|---|---|
| bin | 110001000101110001… |
| … | …0100010100010010000 |
| 3 | 101002002220220020102102 |
| 4 | 1202023202202202100 |
| 5 | 3211400044134410 |
| 6 | 120232430535532 |
| 7 | 10421261533433 |
| oct | 1421342424220 |
| 9 | 332086806372 |
| 10 | 105420302480 |
| 11 | 40788015629 |
| 12 | 185210675a8 |
| 13 | 9c3076a90c |
| 14 | 5160c8d81a |
| 15 | 2b200152a5 |
| hex | 188b8a2890 |
105420302480 has 80 divisors (see below), whose sum is σ = 249479828400. Its totient is φ = 41416980480.
The previous prime is 105420302479. The next prime is 105420302629. The reversal of 105420302480 is 84203024501.
It is a happy number.
It can be written as a sum of positive squares in 8 ways, for example, as 30467004304 + 74953298176 = 174548^2 + 273776^2 .
It is a tau number, because it is divible by the number of its divisors (80).
It is a super-2 number, since 2×1054203024802 (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 15 ways as a sum of consecutive naturals, for example, 3444686 + ... + 3475154.
It is an arithmetic number, because the mean of its divisors is an integer number (3118497855).
Almost surely, 2105420302480 is an apocalyptic number.
105420302480 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 105420302480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124739914200).
105420302480 is an abundant number, since it is smaller than the sum of its proper divisors (144059525920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105420302480 is a wasteful number, since it uses less digits than its factorization.
105420302480 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 31252 (or 31246 counting only the distinct ones).
The product of its (nonzero) digits is 7680, while the sum is 29.
Adding to 105420302480 its reverse (84203024501), we get a palindrome (189623326981).
The spelling of 105420302480 in words is "one hundred five billion, four hundred twenty million, three hundred two thousand, four hundred eighty".
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