| Base | Representation |
|---|---|
| bin | 1100100100100… |
| … | …00100000000000 |
| 3 | 21100102101111000 |
| 4 | 12102100200000 |
| 5 | 203443340342 |
| 6 | 14244052000 |
| 7 | 2420206602 |
| oct | 622204000 |
| 9 | 240371430 |
| 10 | 105449472 |
| 11 | 54583827 |
| 12 | 2b394000 |
| 13 | 18b0104b |
| 14 | 1000d172 |
| 15 | 93ce44c |
| hex | 6490800 |
105449472 has 96 divisors (see below), whose sum is σ = 312530400. Its totient is φ = 35131392.
The previous prime is 105449471. The next prime is 105449473. The reversal of 105449472 is 274944501.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (105449471) and next prime (105449473).
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-2 number, since 2×1054494722 = 22239182290157568, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (105449471) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54343 + ... + 56249.
It is an arithmetic number, because the mean of its divisors is an integer number (3255525).
Almost surely, 2105449472 is an apocalyptic number.
105449472 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 105449472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156265200).
105449472 is an abundant number, since it is smaller than the sum of its proper divisors (207080928).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105449472 is an equidigital number, since it uses as much as digits as its factorization.
105449472 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1938 (or 1912 counting only the distinct ones).
The product of its (nonzero) digits is 40320, while the sum is 36.
The square root of 105449472 is about 10268.8593329542. The cubic root of 105449472 is about 472.4416052803.
The spelling of 105449472 in words is "one hundred five million, four hundred forty-nine thousand, four hundred seventy-two".
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