Base | Representation |
---|---|
bin | 1100101010101… |
… | …01001100000000 |
3 | 21101221022121020 |
4 | 12111111030000 |
5 | 204200130404 |
6 | 14313225440 |
7 | 2430103434 |
oct | 625251400 |
9 | 241838536 |
10 | 106255104 |
11 | 54a8403a |
12 | 2b702280 |
13 | 19023957 |
14 | 1017c9c4 |
15 | 94dced9 |
hex | 6555300 |
106255104 has 72 divisors (see below), whose sum is σ = 291981312. Its totient is φ = 34268160.
The previous prime is 106255103. The next prime is 106255111. The reversal of 106255104 is 401552601.
It is a super-2 number, since 2×1062551042 = 22580294252101632, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a nialpdrome in base 16.
It is not an unprimeable number, because it can be changed into a prime (106255103) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21577 + ... + 26039.
It is an arithmetic number, because the mean of its divisors is an integer number (4055296).
Almost surely, 2106255104 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 106255104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145990656).
106255104 is an abundant number, since it is smaller than the sum of its proper divisors (185726208).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106255104 is an equidigital number, since it uses as much as digits as its factorization.
106255104 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4513 (or 4499 counting only the distinct ones).
The product of its (nonzero) digits is 1200, while the sum is 24.
The square root of 106255104 is about 10308.0116414370. The cubic root of 106255104 is about 473.6417025611.
The spelling of 106255104 in words is "one hundred six million, two hundred fifty-five thousand, one hundred four".
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