Base | Representation |
---|---|
bin | 1100100111001… |
… | …01011000110100 |
3 | 21101002001102210 |
4 | 12103211120310 |
5 | 204041002142 |
6 | 14255333420 |
7 | 2423155365 |
oct | 623453064 |
9 | 241061383 |
10 | 105797172 |
11 | 547a0a88 |
12 | 2b521270 |
13 | 18bc33a0 |
14 | 1009db6c |
15 | 944c49c |
hex | 64e5634 |
105797172 has 96 divisors (see below), whose sum is σ = 278175744. Its totient is φ = 31075200.
The previous prime is 105797161. The next prime is 105797173. The reversal of 105797172 is 271797501.
It is a super-2 number, since 2×1057971722 = 22386083206395168, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (39).
It is a self number, because there is not a number n which added to its sum of digits gives 105797172.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (105797173) 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 31 ways as a sum of consecutive naturals, for example, 633433 + ... + 633599.
It is an arithmetic number, because the mean of its divisors is an integer number (2897664).
Almost surely, 2105797172 is an apocalyptic number.
105797172 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 105797172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139087872).
105797172 is an abundant number, since it is smaller than the sum of its proper divisors (172378572).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105797172 is a wasteful number, since it uses less digits than its factorization.
105797172 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 349 (or 347 counting only the distinct ones).
The product of its (nonzero) digits is 30870, while the sum is 39.
The square root of 105797172 is about 10285.7752260099. The cubic root of 105797172 is about 472.9602983422.
The spelling of 105797172 in words is "one hundred five million, seven hundred ninety-seven thousand, one hundred seventy-two".
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