| Base | Representation |
|---|---|
| bin | 1100101111100… |
| … | …01110001111110 |
| 3 | 21110010220110000 |
| 4 | 12113301301332 |
| 5 | 204331142020 |
| 6 | 14335055130 |
| 7 | 2435414430 |
| oct | 627616176 |
| 9 | 243126400 |
| 10 | 106896510 |
| 11 | 55381a26 |
| 12 | 2b9714a6 |
| 13 | 191b9896 |
| 14 | 102a8650 |
| 15 | 95b8090 |
| hex | 65f1c7e |
106896510 has 160 divisors (see below), whose sum is σ = 348131520. Its totient is φ = 22975488.
The previous prime is 106896509. The next prime is 106896511. The reversal of 106896510 is 15698601.
It is an interprime number because it is at equal distance from previous prime (106896509) and next prime (106896511).
It is a super-2 number, since 2×1068965102 = 22853727700360200, which contains 22 as substring.
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (106896511) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 95836 + ... + 96944.
It is an arithmetic number, because the mean of its divisors is an integer number (2175822).
Almost surely, 2106896510 is an apocalyptic number.
106896510 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 106896510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174065760).
106896510 is an abundant number, since it is smaller than the sum of its proper divisors (241235010).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106896510 is a wasteful number, since it uses less digits than its factorization.
106896510 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1152 (or 1143 counting only the distinct ones).
The product of its (nonzero) digits is 12960, while the sum is 36.
The square root of 106896510 is about 10339.0768446704. The cubic root of 106896510 is about 474.5928329808.
The spelling of 106896510 in words is "one hundred six million, eight hundred ninety-six thousand, five hundred ten".
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