| Base | Representation |
|---|---|
| bin | 1100101110011… |
| … | …11001010100000 |
| 3 | 21102212200221112 |
| 4 | 12113033022200 |
| 5 | 204312122340 |
| 6 | 14332042452 |
| 7 | 2434254152 |
| oct | 627171240 |
| 9 | 242780845 |
| 10 | 106754720 |
| 11 | 55295446 |
| 12 | 2b903428 |
| 13 | 1916a197 |
| 14 | 1026cad2 |
| 15 | 958b065 |
| hex | 65cf2a0 |
106754720 has 48 divisors (see below), whose sum is σ = 256987080. Its totient is φ = 41892864.
The previous prime is 106754717. The next prime is 106754723. The reversal of 106754720 is 27457601.
It is an interprime number because it is at equal distance from previous prime (106754717) and next prime (106754723).
It can be written as a sum of positive squares in 4 ways, for example, as 73068304 + 33686416 = 8548^2 + 5804^2 .
It is a super-2 number, since 2×1067547202 = 22793140484556800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (32).
It is not an unprimeable number, because it can be changed into a prime (106754723) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2186 + ... + 14774.
Almost surely, 2106754720 is an apocalyptic number.
106754720 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 106754720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128493540).
106754720 is an abundant number, since it is smaller than the sum of its proper divisors (150232360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106754720 is a wasteful number, since it uses less digits than its factorization.
106754720 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12657 (or 12649 counting only the distinct ones).
The product of its (nonzero) digits is 11760, while the sum is 32.
The square root of 106754720 is about 10332.2175741706. The cubic root of 106754720 is about 474.3829031695.
The spelling of 106754720 in words is "one hundred six million, seven hundred fifty-four thousand, seven hundred twenty".
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