| Base | Representation |
|---|---|
| bin | 1100101000100… |
| … | …01110011100000 |
| 3 | 21101102022000000 |
| 4 | 12110101303200 |
| 5 | 204112312404 |
| 6 | 14303300000 |
| 7 | 2424543660 |
| oct | 624216340 |
| 9 | 241368000 |
| 10 | 105979104 |
| 11 | 54905740 |
| 12 | 2b5aa600 |
| 13 | 18c5813a |
| 14 | 1010a1a0 |
| 15 | 9486339 |
| hex | 6511ce0 |
105979104 has 336 divisors, whose sum is σ = 396627840. Its totient is φ = 27060480.
The previous prime is 105979103. The next prime is 105979109. The reversal of 105979104 is 401979501.
It is a tau number, because it is divible by the number of its divisors (336).
It is a super-2 number, since 2×1059791042 = 22463140969285632, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (105979103) 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 55 ways as a sum of consecutive naturals, for example, 1796227 + ... + 1796285.
It is an arithmetic number, because the mean of its divisors is an integer number (1180440).
Almost surely, 2105979104 is an apocalyptic number.
105979104 is a gapful number since it is divisible by the number (14) 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 105979104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198313920).
105979104 is an abundant number, since it is smaller than the sum of its proper divisors (290648736).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105979104 is an equidigital number, since it uses as much as digits as its factorization.
105979104 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 105 (or 82 counting only the distinct ones).
The product of its (nonzero) digits is 11340, while the sum is 36.
The square root of 105979104 is about 10294.6152915007. The cubic root of 105979104 is about 473.2312486762.
It can be divided in two parts, 10597 and 9104, that added together give a triangular number (19701 = T198).
The spelling of 105979104 in words is "one hundred five million, nine hundred seventy-nine thousand, one hundred four".
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