| Base | Representation |
|---|---|
| bin | 1100100100001… |
| … | …01101110111100 |
| 3 | 21100100010222200 |
| 4 | 12102011232330 |
| 5 | 203440432442 |
| 6 | 14243111500 |
| 7 | 2416634202 |
| oct | 622055674 |
| 9 | 240303880 |
| 10 | 105405372 |
| 11 | 54553686 |
| 12 | 2b372590 |
| 13 | 18ab6c57 |
| 14 | dddb072 |
| 15 | 93c134c |
| hex | 6485bbc |
105405372 has 72 divisors (see below), whose sum is σ = 291891600. Its totient is φ = 31922688.
The previous prime is 105405371. The next prime is 105405373. The reversal of 105405372 is 273504501.
It is a happy number.
105405372 is a `hidden beast` number, since 1 + 0 + 540 + 53 + 72 = 666.
It is an interprime number because it is at equal distance from previous prime (105405371) and next prime (105405373).
It is a super-2 number, since 2×1054053722 = 22220584892916768, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (105405371) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14779 + ... + 20717.
It is an arithmetic number, because the mean of its divisors is an integer number (4054050).
Almost surely, 2105405372 is an apocalyptic number.
105405372 is a gapful number since it is divisible by the number (12) 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 105405372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145945800).
105405372 is an abundant number, since it is smaller than the sum of its proper divisors (186486228).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105405372 is a wasteful number, since it uses less digits than its factorization.
105405372 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5995 (or 5990 counting only the distinct ones).
The product of its (nonzero) digits is 4200, while the sum is 27.
The square root of 105405372 is about 10266.7118397275. The cubic root of 105405372 is about 472.3757361979.
Adding to 105405372 its reverse (273504501), we get a palindrome (378909873).
The spelling of 105405372 in words is "one hundred five million, four hundred five thousand, three hundred seventy-two".
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