| Base | Representation |
|---|---|
| bin | 1100101000110… |
| … | …01111110010000 |
| 3 | 21101110222220010 |
| 4 | 12110121332100 |
| 5 | 204114400220 |
| 6 | 14304114520 |
| 7 | 2425043343 |
| oct | 624317620 |
| 9 | 241428803 |
| 10 | 106012560 |
| 11 | 54928895 |
| 12 | 2b605a40 |
| 13 | 18c6a434 |
| 14 | 1011845a |
| 15 | 94911e0 |
| hex | 6519f90 |
106012560 has 80 divisors (see below), whose sum is σ = 339264000. Its totient is φ = 27356160.
The previous prime is 106012553. The next prime is 106012567. The reversal of 106012560 is 65210601.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (106012553) and next prime (106012567).
It is a tau number, because it is divible by the number of its divisors (80).
It is a super-2 number, since 2×1060125602 = 22477325755507200, which contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (106012567) 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 15 ways as a sum of consecutive naturals, for example, 316 + ... + 14564.
It is an arithmetic number, because the mean of its divisors is an integer number (4240800).
Almost surely, 2106012560 is an apocalyptic number.
106012560 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 106012560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169632000).
106012560 is an abundant number, since it is smaller than the sum of its proper divisors (233251440).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106012560 is a wasteful number, since it uses less digits than its factorization.
106012560 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 14296 (or 14290 counting only the distinct ones).
The product of its (nonzero) digits is 360, while the sum is 21.
The square root of 106012560 is about 10296.2400904408. The cubic root of 106012560 is about 473.2810407526.
The spelling of 106012560 in words is "one hundred six million, twelve thousand, five hundred sixty".
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