| Base | Representation |
|---|---|
| bin | 1100101111101… |
| … | …10010000000000 |
| 3 | 21110011211120000 |
| 4 | 12113312100000 |
| 5 | 204332233231 |
| 6 | 14335320000 |
| 7 | 2435522001 |
| oct | 627662000 |
| 9 | 243154500 |
| 10 | 106914816 |
| 11 | 55394758 |
| 12 | 2b980000 |
| 13 | 191c5008 |
| 14 | 102b11a8 |
| 15 | 95bd6e6 |
| hex | 65f6400 |
106914816 has 110 divisors (see below), whose sum is σ = 319516230. Its totient is φ = 35610624.
The previous prime is 106914811. The next prime is 106914817. The reversal of 106914816 is 618419601.
It is a happy number.
It can be written as a sum of positive squares in only one way, i.e., 101606400 + 5308416 = 10080^2 + 2304^2 .
It is a super-2 number, since 2×1069148162 = 22861555760627712, 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 (106914811) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 82300 + ... + 83588.
It is an arithmetic number, because the mean of its divisors is an integer number (2904693).
Almost surely, 2106914816 is an apocalyptic number.
106914816 is a gapful number since it is divisible by the number (16) 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 106914816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159758115).
106914816 is an abundant number, since it is smaller than the sum of its proper divisors (212601414).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106914816 is an equidigital number, since it uses as much as digits as its factorization.
106914816 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1321 (or 1294 counting only the distinct ones).
The product of its (nonzero) digits is 10368, while the sum is 36.
The square root of 106914816 is about 10339.9620889054. The cubic root of 106914816 is about 474.6199227349.
The spelling of 106914816 in words is "one hundred six million, nine hundred fourteen thousand, eight hundred sixteen".
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