| Base | Representation |
|---|---|
| bin | 1100100010011… |
| … | …01010000111000 |
| 3 | 21022220101201000 |
| 4 | 12101031100320 |
| 5 | 203411032242 |
| 6 | 14234125000 |
| 7 | 2414651643 |
| oct | 621152070 |
| 9 | 238811630 |
| 10 | 105174072 |
| 11 | 54405923 |
| 12 | 2b280760 |
| 13 | 18a358a3 |
| 14 | dd7aa5a |
| 15 | 9377a4c |
| hex | 644d438 |
105174072 has 128 divisors (see below), whose sum is σ = 306432000. Its totient is φ = 33384960.
The previous prime is 105174029. The next prime is 105174073. The reversal of 105174072 is 270471501.
It is a super-2 number, since 2×1051740722 = 22123170842122368, which contains 22 as substring.
It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (105174073) 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 31 ways as a sum of consecutive naturals, for example, 756579 + ... + 756717.
It is an arithmetic number, because the mean of its divisors is an integer number (2394000).
Almost surely, 2105174072 is an apocalyptic number.
105174072 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 105174072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153216000).
105174072 is an abundant number, since it is smaller than the sum of its proper divisors (201257928).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105174072 is a wasteful number, since it uses less digits than its factorization.
105174072 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 298 (or 288 counting only the distinct ones).
The product of its (nonzero) digits is 1960, while the sum is 27.
The square root of 105174072 is about 10255.4410924153. The cubic root of 105174072 is about 472.0299583589.
The spelling of 105174072 in words is "one hundred five million, one hundred seventy-four thousand, seventy-two".
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