| Base | Representation |
|---|---|
| bin | 10111111001111111010011… |
| … | …011001010111001110000000 |
| 3 | 111210021021211221020200010022 |
| 4 | 113321333103121113032000 |
| 5 | 102240103311034030224 |
| 6 | 1011340401143553012 |
| 7 | 31101055323350240 |
| oct | 2771772331271600 |
| 9 | 453237757220108 |
| 10 | 105140051080064 |
| 11 | 30556710926000 |
| 12 | b960a1a45b768 |
| 13 | 4688883545090 |
| 14 | 1bd6b3c8c1b20 |
| 15 | c24e0245265e |
| hex | 5f9fd3657380 |
105140051080064 has 512 divisors, whose sum is σ = 285260442163200. Its totient is φ = 37585257431040.
The previous prime is 105140051080061. The next prime is 105140051080067. The reversal of 105140051080064 is 460080150041501.
105140051080064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (105140051080061) and next prime (105140051080067).
It is a super-2 number, since 2×1051400510800642 (a number of 29 digits) contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (105140051080061) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2589062192 + ... + 2589102800.
It is an arithmetic number, because the mean of its divisors is an integer number (557149301100).
Almost surely, 2105140051080064 is an apocalyptic number.
105140051080064 is a gapful number since it is divisible by the number (14) 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 105140051080064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142630221081600).
105140051080064 is an abundant number, since it is smaller than the sum of its proper divisors (180120391083136).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105140051080064 is a wasteful number, since it uses less digits than its factorization.
105140051080064 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 40843 (or 40809 counting only the distinct ones).
The product of its (nonzero) digits is 19200, while the sum is 35.
The spelling of 105140051080064 in words is "one hundred five trillion, one hundred forty billion, fifty-one million, eighty thousand, sixty-four".
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