Base | Representation |
---|---|
bin | 1100101010111… |
… | …11101000011100 |
3 | 21102000111021200 |
4 | 12111133220130 |
5 | 204203013014 |
6 | 14314155500 |
7 | 2430342240 |
oct | 625375034 |
9 | 242014250 |
10 | 106297884 |
11 | 550031a0 |
12 | 2b722b90 |
13 | 1903a274 |
14 | 10190420 |
15 | 94eaa09 |
hex | 655fa1c |
106297884 has 144 divisors (see below), whose sum is σ = 346085376. Its totient is φ = 26697600.
The previous prime is 106297883. The next prime is 106297901. The reversal of 106297884 is 488792601.
106297884 is a `hidden beast` number, since 10 + 629 + 7 + 8 + 8 + 4 = 666.
It is a super-2 number, since 2×1062978842 = 22598480285754912, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (106297883) 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, 85314 + ... + 86550.
Almost surely, 2106297884 is an apocalyptic number.
106297884 is a gapful number since it is divisible by the number (14) 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 106297884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173042688).
106297884 is an abundant number, since it is smaller than the sum of its proper divisors (239787492).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106297884 is a wasteful number, since it uses less digits than its factorization.
106297884 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1296 (or 1291 counting only the distinct ones).
The product of its (nonzero) digits is 193536, while the sum is 45.
The square root of 106297884 is about 10310.0865175807. The cubic root of 106297884 is about 473.7052592674.
The spelling of 106297884 in words is "one hundred six million, two hundred ninety-seven thousand, eight hundred eighty-four".
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