| Base | Representation |
|---|---|
| bin | 1100110000010… |
| … | …10001100010100 |
| 3 | 21110022222121100 |
| 4 | 12120022030110 |
| 5 | 204342342000 |
| 6 | 14341150100 |
| 7 | 2436312102 |
| oct | 630121424 |
| 9 | 243288540 |
| 10 | 106996500 |
| 11 | 55440066 |
| 12 | 2b9bb330 |
| 13 | 19223250 |
| 14 | 102d2c72 |
| 15 | 95d7a00 |
| hex | 660a314 |
106996500 has 288 divisors, whose sum is σ = 381588480. Its totient is φ = 25056000.
The previous prime is 106996493. The next prime is 106996507. The reversal of 106996500 is 5699601.
106996500 is a `hidden beast` number, since 1 + 0 + 69 + 96 + 500 = 666.
It is an interprime number because it is at equal distance from previous prime (106996493) and next prime (106996507).
It is a super-2 number, since 2×1069965002 = 22896502024500000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a zygodrome in base 11.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (106996507) by changing a digit.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1813471 + ... + 1813529.
It is an arithmetic number, because the mean of its divisors is an integer number (1324960).
Almost surely, 2106996500 is an apocalyptic number.
106996500 is a gapful number since it is divisible by the number (10) 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 106996500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190794240).
106996500 is an abundant number, since it is smaller than the sum of its proper divisors (274591980).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106996500 is a wasteful number, since it uses less digits than its factorization.
106996500 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 128 (or 113 counting only the distinct ones).
The product of its (nonzero) digits is 14580, while the sum is 36.
The square root of 106996500 is about 10343.9112525195. The cubic root of 106996500 is about 474.7407634383.
The spelling of 106996500 in words is "one hundred six million, nine hundred ninety-six thousand, five hundred".
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