| Base | Representation |
|---|---|
| bin | 1100110001010… |
| … | …01101110000000 |
| 3 | 21110120112202000 |
| 4 | 12120221232000 |
| 5 | 204411010012 |
| 6 | 14344024000 |
| 7 | 2440360425 |
| oct | 630515600 |
| 9 | 243515660 |
| 10 | 107125632 |
| 11 | 55519089 |
| 12 | 2ba62000 |
| 13 | 19269c63 |
| 14 | 10327d4c |
| 15 | 9610ddc |
| hex | 6629b80 |
107125632 has 128 divisors (see below), whose sum is σ = 319872000. Its totient is φ = 35292672.
The previous prime is 107125609. The next prime is 107125633. The reversal of 107125632 is 236521701.
It is a happy number.
107125632 is a `hidden beast` number, since 1 + 0 + 7 + 1 + 25 + 632 = 666.
It is a tau number, because it is divible by the number of its divisors (128).
It is a super-2 number, since 2×1071256322 = 22951802062798848, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 107125596 and 107125605.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (107125633) 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 15 ways as a sum of consecutive naturals, for example, 480273 + ... + 480495.
It is an arithmetic number, because the mean of its divisors is an integer number (2499000).
Almost surely, 2107125632 is an apocalyptic number.
107125632 is a gapful number since it is divisible by the number (12) 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 107125632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159936000).
107125632 is an abundant number, since it is smaller than the sum of its proper divisors (212746368).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
107125632 is a wasteful number, since it uses less digits than its factorization.
107125632 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 385 (or 367 counting only the distinct ones).
The product of its (nonzero) digits is 2520, while the sum is 27.
The square root of 107125632 is about 10350.1513032419. The cubic root of 107125632 is about 474.9316717967.
The spelling of 107125632 in words is "one hundred seven million, one hundred twenty-five thousand, six hundred thirty-two".
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