| Base | Representation |
|---|---|
| bin | 1100100100100… |
| … | …00110110110010 |
| 3 | 21100102110111000 |
| 4 | 12102100312302 |
| 5 | 203443412210 |
| 6 | 14244102430 |
| 7 | 2420214054 |
| oct | 622206662 |
| 9 | 240373430 |
| 10 | 105450930 |
| 11 | 54584932 |
| 12 | 2b394a16 |
| 13 | 18b01900 |
| 14 | 1000d8d4 |
| 15 | 93ceac0 |
| hex | 6490db2 |
105450930 has 96 divisors (see below), whose sum is σ = 304629120. Its totient is φ = 25945920.
The previous prime is 105450923. The next prime is 105450937. The reversal of 105450930 is 39054501.
It is an interprime number because it is at equal distance from previous prime (105450923) and next prime (105450937).
It is a super-2 number, since 2×1054509302 = 22239797275729800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 105450894 and 105450903.
It is not an unprimeable number, because it can be changed into a prime (105450937) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44475 + ... + 46785.
It is an arithmetic number, because the mean of its divisors is an integer number (3173220).
Almost surely, 2105450930 is an apocalyptic number.
105450930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 105450930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152314560).
105450930 is an abundant number, since it is smaller than the sum of its proper divisors (199178190).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105450930 is a wasteful number, since it uses less digits than its factorization.
105450930 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2353 (or 2334 counting only the distinct ones).
The product of its (nonzero) digits is 2700, while the sum is 27.
The square root of 105450930 is about 10268.9303240406. The cubic root of 105450930 is about 472.4437826792.
It can be divided in two parts, 1054 and 50930, that added together give a square (51984 = 2282).
The spelling of 105450930 in words is "one hundred five million, four hundred fifty thousand, nine hundred thirty".
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