| Base | Representation |
|---|---|
| bin | 110001000000001110… |
| … | …0000011000111010100 |
| 3 | 101001121221102201011110 |
| 4 | 1202000130003013110 |
| 5 | 3211004404122130 |
| 6 | 120202134535020 |
| 7 | 10413540451662 |
| oct | 1420034030724 |
| 9 | 331557381143 |
| 10 | 105234051540 |
| 11 | 406a1973532 |
| 12 | 1848a807470 |
| 13 | 9c00cb8767 |
| 14 | 5144249c32 |
| 15 | 2b0d9c4ab0 |
| hex | 18807031d4 |
105234051540 has 96 divisors (see below), whose sum is σ = 299297182464. Its totient is φ = 27621637120.
The previous prime is 105234051539. The next prime is 105234051541. The reversal of 105234051540 is 45150432501.
It is an interprime number because it is at equal distance from previous prime (105234051539) and next prime (105234051541).
It is a super-2 number, since 2×1052340515402 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (30).
It is a junction number, because it is equal to n+sod(n) for n = 105234051498 and 105234051507.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (105234051541) by changing a digit.
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 31 ways as a sum of consecutive naturals, for example, 2608402 + ... + 2648438.
It is an arithmetic number, because the mean of its divisors is an integer number (3117678984).
Almost surely, 2105234051540 is an apocalyptic number.
105234051540 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 105234051540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149648591232).
105234051540 is an abundant number, since it is smaller than the sum of its proper divisors (194063130924).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105234051540 is a wasteful number, since it uses less digits than its factorization.
105234051540 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 40737 (or 40735 counting only the distinct ones).
The product of its (nonzero) digits is 12000, while the sum is 30.
The spelling of 105234051540 in words is "one hundred five billion, two hundred thirty-four million, fifty-one thousand, five hundred forty".
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