| Base | Representation |
|---|---|
| bin | 110000111010001100… |
| … | …1010101111001010000 |
| 3 | 101001002212021012201221 |
| 4 | 1201310121111321100 |
| 5 | 3210101143443230 |
| 6 | 120130120334424 |
| 7 | 10405535254312 |
| oct | 1416431257120 |
| 9 | 331085235657 |
| 10 | 105032015440 |
| 11 | 405a891a850 |
| 12 | 18433014414 |
| 13 | 9b9b19a781 |
| 14 | 51254977b2 |
| 15 | 2aeadb727a |
| hex | 1874655e50 |
105032015440 has 160 divisors (see below), whose sum is σ = 275048110080. Its totient is φ = 36964454400.
The previous prime is 105032015423. The next prime is 105032015449. The reversal of 105032015440 is 44510230501.
It is a happy number.
105032015440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×1050320154402 (a number of 23 digits) contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (105032015449) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6210516 + ... + 6227404.
It is an arithmetic number, because the mean of its divisors is an integer number (1719050688).
Almost surely, 2105032015440 is an apocalyptic number.
105032015440 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 105032015440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137524055040).
105032015440 is an abundant number, since it is smaller than the sum of its proper divisors (170016094640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105032015440 is a wasteful number, since it uses less digits than its factorization.
105032015440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 17141 (or 17135 counting only the distinct ones).
The product of its (nonzero) digits is 2400, while the sum is 25.
Adding to 105032015440 its reverse (44510230501), we get a palindrome (149542245941).
The spelling of 105032015440 in words is "one hundred five billion, thirty-two million, fifteen thousand, four hundred forty".
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