| Base | Representation |
|---|---|
| bin | 1100101101000… |
| … | …10100010110000 |
| 3 | 21102112102020100 |
| 4 | 12112202202300 |
| 5 | 204240300302 |
| 6 | 14324112400 |
| 7 | 2432563254 |
| oct | 626424260 |
| 9 | 242472210 |
| 10 | 106571952 |
| 11 | 551800a3 |
| 12 | 2b835700 |
| 13 | 19104c36 |
| 14 | 10222264 |
| 15 | 9551d1c |
| hex | 65a28b0 |
106571952 has 60 divisors (see below), whose sum is σ = 300315600. Its totient is φ = 35278464.
The previous prime is 106571947. The next prime is 106571957. The reversal of 106571952 is 259175601.
It is an interprime number because it is at equal distance from previous prime (106571947) and next prime (106571957).
It is a super-2 number, since 2×1065719522 = 22715161906180608, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (106571957) 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 11 ways as a sum of consecutive naturals, for example, 18973 + ... + 23939.
It is an arithmetic number, because the mean of its divisors is an integer number (5005260).
Almost surely, 2106571952 is an apocalyptic number.
106571952 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 106571952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150157800).
106571952 is an abundant number, since it is smaller than the sum of its proper divisors (193743648).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106571952 is a wasteful number, since it uses less digits than its factorization.
106571952 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5130 (or 5121 counting only the distinct ones).
The product of its (nonzero) digits is 18900, while the sum is 36.
The square root of 106571952 is about 10323.3692174600. The cubic root of 106571952 is about 474.1120282125.
The spelling of 106571952 in words is "one hundred six million, five hundred seventy-one thousand, nine hundred fifty-two".
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