| Base | Representation |
|---|---|
| bin | 110001010011110101… |
| … | …1001000111011001001 |
| 3 | 101010022211002011020211 |
| 4 | 1202213223020323021 |
| 5 | 3213331413201141 |
| 6 | 120351331521121 |
| 7 | 10436052600604 |
| oct | 1424753107311 |
| 9 | 333284064224 |
| 10 | 105892318921 |
| 11 | 409aa4a9564 |
| 12 | 186331591a1 |
| 13 | 9ca74a579c |
| 14 | 51a783d33b |
| 15 | 2b4b6a1d81 |
| hex | 18a7ac8ec9 |
105892318921 has 3 divisors (see below), whose sum is σ = 105892644333. Its totient is φ = 105891993510.
The previous prime is 105892318919. The next prime is 105892318937. The reversal of 105892318921 is 129813298501.
The square root of 105892318921 is 325411.
It is a perfect power (a square), and thus also a powerful number.
It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 129813298501 = 78697 ⋅1649533.
It is not a de Polignac number, because 105892318921 - 21 = 105892318919 is a prime.
It is a super-2 number, since 2×1058923189212 (a number of 23 digits) contains 22 as substring.
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (105892318951) 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 2 ways as a sum of consecutive naturals, for example, 162706 + ... + 488116.
It is an arithmetic number, because the mean of its divisors is an integer number (35297548111).
Almost surely, 2105892318921 is an apocalyptic number.
105892318921 is the 325411-st square number.
105892318921 is the 162706-th centered octagonal number.
It is an amenable number.
105892318921 is a deficient number, since it is larger than the sum of its proper divisors (325412).
105892318921 is an frugal number, since it uses more digits than its factorization.
105892318921 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 650822 (or 325411 counting only the distinct ones).
The product of its (nonzero) digits is 311040, while the sum is 49.
Multiplying 105892318921 by its sum of digits (49), we get a square (5188723627129 = 22778772).
The spelling of 105892318921 in words is "one hundred five billion, eight hundred ninety-two million, three hundred eighteen thousand, nine hundred twenty-one".
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