| Base | Representation |
|---|---|
| bin | 1100100010101… |
| … | …01110010100000 |
| 3 | 21022222011121100 |
| 4 | 12101111302200 |
| 5 | 203413141432 |
| 6 | 14234554400 |
| 7 | 2415155520 |
| oct | 621256240 |
| 9 | 238864540 |
| 10 | 105208992 |
| 11 | 5442a089 |
| 12 | 2b298a00 |
| 13 | 18a48755 |
| 14 | dd89680 |
| 15 | 938307c |
| hex | 6455ca0 |
105208992 has 144 divisors (see below), whose sum is σ = 356952960. Its totient is φ = 28740096.
The previous prime is 105208979. The next prime is 105209021. The reversal of 105208992 is 299802501.
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×1052089922 = 22137863995312128, which contains 22 as substring.
It is a hoax number, since the sum of its digits (36) 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 (36).
It is a congruent number.
It is an unprimeable number.
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 23 ways as a sum of consecutive naturals, for example, 45234 + ... + 47502.
It is an arithmetic number, because the mean of its divisors is an integer number (2478840).
Almost surely, 2105208992 is an apocalyptic number.
105208992 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 105208992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178476480).
105208992 is an abundant number, since it is smaller than the sum of its proper divisors (251743968).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105208992 is a wasteful number, since it uses less digits than its factorization.
105208992 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2315 (or 2304 counting only the distinct ones).
The product of its (nonzero) digits is 12960, while the sum is 36.
The square root of 105208992 is about 10257.1434619976. The cubic root of 105208992 is about 472.0821938637.
The spelling of 105208992 in words is "one hundred five million, two hundred eight thousand, nine hundred ninety-two".
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