| Base | Representation |
|---|---|
| bin | 110001100001110100… |
| … | …0110011100000000000 |
| 3 | 101011112111212110002000 |
| 4 | 1203003220303200000 |
| 5 | 3220312014001203 |
| 6 | 120510051224000 |
| 7 | 10453510366101 |
| oct | 1430350634000 |
| 9 | 334474773060 |
| 10 | 106361468928 |
| 11 | 41120304940 |
| 12 | 187442a8000 |
| 13 | a050748a40 |
| 14 | 520dc843a8 |
| 15 | 2b779744a3 |
| hex | 18c3a33800 |
106361468928 has 384 divisors, whose sum is σ = 370177516800. Its totient is φ = 29749248000.
The previous prime is 106361468897. The next prime is 106361468959. The reversal of 106361468928 is 829864163601.
106361468928 is a `hidden beast` number, since 10 + 6 + 3 + 614 + 6 + 8 + 9 + 2 + 8 = 666.
It is an interprime number because it is at equal distance from previous prime (106361468897) and next prime (106361468959).
It is a tau number, because it is divible by the number of its divisors (384).
It is a super-2 number, since 2×1063614689282 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7900603 + ... + 7914053.
It is an arithmetic number, because the mean of its divisors is an integer number (964003950).
Almost surely, 2106361468928 is an apocalyptic number.
106361468928 is a gapful number since it is divisible by the number (18) 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 106361468928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185088758400).
106361468928 is an abundant number, since it is smaller than the sum of its proper divisors (263816047872).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106361468928 is a wasteful number, since it uses less digits than its factorization.
106361468928 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 13506 (or 13480 counting only the distinct ones).
The product of its (nonzero) digits is 2985984, while the sum is 54.
The spelling of 106361468928 in words is "one hundred six billion, three hundred sixty-one million, four hundred sixty-eight thousand, nine hundred twenty-eight".
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