| Base | Representation |
|---|---|
| bin | 1100101001110… |
| … | …01010110000000 |
| 3 | 21101201112011020 |
| 4 | 12110321112000 |
| 5 | 204133003211 |
| 6 | 14310545440 |
| 7 | 2426120100 |
| oct | 624712600 |
| 9 | 241645136 |
| 10 | 106141056 |
| 11 | 54a0638a |
| 12 | 2b668280 |
| 13 | 18cb3a78 |
| 14 | 1014d200 |
| 15 | 94b9306 |
| hex | 6539580 |
106141056 has 96 divisors (see below), whose sum is σ = 328025880. Its totient is φ = 30320640.
The previous prime is 106141043. The next prime is 106141069. The reversal of 106141056 is 650141601.
It is an interprime number because it is at equal distance from previous prime (106141043) and next prime (106141069).
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-2 number, since 2×1061410562 = 22531847537590272, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a congruent number.
It is an unprimeable number.
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 11 ways as a sum of consecutive naturals, for example, 15996 + ... + 21636.
Almost surely, 2106141056 is an apocalyptic number.
106141056 is a gapful number since it is divisible by the number (16) 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 106141056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164012940).
106141056 is an abundant number, since it is smaller than the sum of its proper divisors (221884824).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106141056 is an equidigital number, since it uses as much as digits as its factorization.
106141056 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5672 (or 5653 counting only the distinct ones).
The product of its (nonzero) digits is 720, while the sum is 24.
The square root of 106141056 is about 10302.4781484845. The cubic root of 106141056 is about 473.4721821492.
Adding to 106141056 its reverse (650141601), we get a palindrome (756282657).
The spelling of 106141056 in words is "one hundred six million, one hundred forty-one thousand, fifty-six".
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