| Base | Representation |
|---|---|
| bin | 1100100010111… |
| … | …01000110001000 |
| 3 | 21100000200122210 |
| 4 | 12101131012020 |
| 5 | 203420121140 |
| 6 | 14235345120 |
| 7 | 2415342003 |
| oct | 621350610 |
| 9 | 240020583 |
| 10 | 105238920 |
| 11 | 5444a616 |
| 12 | 2b2b21a0 |
| 13 | 18a59267 |
| 14 | dd9653a |
| 15 | 938bd80 |
| hex | 645d188 |
105238920 has 64 divisors (see below), whose sum is σ = 321693120. Its totient is φ = 27532544.
The previous prime is 105238919. The next prime is 105238921. The reversal of 105238920 is 29832501.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (105238919) and next prime (105238921).
It is a super-2 number, since 2×1052389202 = 22150460565532800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (30).
It is not an unprimeable number, because it can be changed into a prime (105238921) 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 15 ways as a sum of consecutive naturals, for example, 1914 + ... + 14633.
It is an arithmetic number, because the mean of its divisors is an integer number (5026455).
Almost surely, 2105238920 is an apocalyptic number.
105238920 is a gapful number since it is divisible by the number (10) 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 105238920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160846560).
105238920 is an abundant number, since it is smaller than the sum of its proper divisors (216454200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105238920 is a wasteful number, since it uses less digits than its factorization.
105238920 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 16614 (or 16610 counting only the distinct ones).
The product of its (nonzero) digits is 4320, while the sum is 30.
The square root of 105238920 is about 10258.6022439707. The cubic root of 105238920 is about 472.1269528276.
The spelling of 105238920 in words is "one hundred five million, two hundred thirty-eight thousand, nine hundred twenty".
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