| Base | Representation |
|---|---|
| bin | 110000111001111101… |
| … | …1110111000110000000 |
| 3 | 101001002022201120110021 |
| 4 | 1201303323313012000 |
| 5 | 3210042204141404 |
| 6 | 120125242543224 |
| 7 | 10405412465602 |
| oct | 1416373670600 |
| 9 | 331068646407 |
| 10 | 105024287104 |
| 11 | 405a45213a0 |
| 12 | 18430507b14 |
| 13 | 9b996c2ba9 |
| 14 | 5124445172 |
| 15 | 2aea38c454 |
| hex | 1873ef7180 |
105024287104 has 64 divisors (see below), whose sum is σ = 228585084480. Its totient is φ = 47667980800.
The previous prime is 105024287101. The next prime is 105024287107. The reversal of 105024287104 is 401782420501.
It is an interprime number because it is at equal distance from previous prime (105024287101) and next prime (105024287107).
It is a tau number, because it is divible by the number of its divisors (64).
It is a super-2 number, since 2×1050242871042 (a number of 23 digits) contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 105024287104.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (105024287101) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 907059 + ... + 1016269.
It is an arithmetic number, because the mean of its divisors is an integer number (3571641945).
Almost surely, 2105024287104 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 105024287104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114292542240).
105024287104 is an abundant number, since it is smaller than the sum of its proper divisors (123560797376).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105024287104 is a wasteful number, since it uses less digits than its factorization.
105024287104 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 109919 (or 109907 counting only the distinct ones).
The product of its (nonzero) digits is 17920, while the sum is 34.
The spelling of 105024287104 in words is "one hundred five billion, twenty-four million, two hundred eighty-seven thousand, one hundred four".
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