Base | Representation |
---|---|
bin | 1100101110000… |
… | …01000110000000 |
3 | 21102202202220000 |
4 | 12113001012000 |
5 | 204303301323 |
6 | 14330520000 |
7 | 2433624141 |
oct | 627010600 |
9 | 242682800 |
10 | 106697088 |
11 | 55256113 |
12 | 2b896000 |
13 | 19149b94 |
14 | 10255ac8 |
15 | 9578e43 |
hex | 65c1180 |
106697088 has 160 divisors (see below), whose sum is σ = 326569320. Its totient is φ = 34560000.
The previous prime is 106697077. The next prime is 106697099. The reversal of 106697088 is 880796601.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (106697077) and next prime (106697099).
It is a super-2 number, since 2×1066970882 = 22768537175359488, which contains 22 as substring.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 424963 + ... + 425213.
Almost surely, 2106697088 is an apocalyptic number.
106697088 is a gapful number since it is divisible by the number (18) 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 106697088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163284660).
106697088 is an abundant number, since it is smaller than the sum of its proper divisors (219872232).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106697088 is an equidigital number, since it uses as much as digits as its factorization.
106697088 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 318 (or 297 counting only the distinct ones).
The product of its (nonzero) digits is 145152, while the sum is 45.
The square root of 106697088 is about 10329.4282513603. The cubic root of 106697088 is about 474.2975219119.
The spelling of 106697088 in words is "one hundred six million, six hundred ninety-seven thousand, eighty-eight".
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