Base | Representation |
---|---|
bin | 1100101010001… |
… | …11000010100100 |
3 | 21101211101010000 |
4 | 12111013002210 |
5 | 204141302111 |
6 | 14312101300 |
7 | 2426442462 |
oct | 625070244 |
9 | 241741100 |
10 | 106197156 |
11 | 54a4454a |
12 | 2b694830 |
13 | 19003470 |
14 | 10165832 |
15 | 94cac56 |
hex | 65470a4 |
106197156 has 120 divisors (see below), whose sum is σ = 314948480. Its totient is φ = 30932928.
The previous prime is 106197151. The next prime is 106197163. The reversal of 106197156 is 651791601.
It is a happy number.
It is a super-2 number, since 2×1061971562 = 22555671884976672, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 106197156.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (106197151) 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 39 ways as a sum of consecutive naturals, for example, 79365 + ... + 80691.
Almost surely, 2106197156 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 106197156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157474240).
106197156 is an abundant number, since it is smaller than the sum of its proper divisors (208751324).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106197156 is a wasteful number, since it uses less digits than its factorization.
106197156 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1375 (or 1364 counting only the distinct ones).
The product of its (nonzero) digits is 11340, while the sum is 36.
The square root of 106197156 is about 10305.2004347320. The cubic root of 106197156 is about 473.5555840929. Note that the first 4 decimals are identical.
The spelling of 106197156 in words is "one hundred six million, one hundred ninety-seven thousand, one hundred fifty-six".
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