| Base | Representation |
|---|---|
| bin | 11000010001100110100111… |
| … | …111101110100000000000000 |
| 3 | 112000000102111111101222000120 |
| 4 | 120101212213331310000000 |
| 5 | 102443200223414404040 |
| 6 | 1015022055031220240 |
| 7 | 31326234131255250 |
| oct | 3021464775640000 |
| 9 | 460012444358016 |
| 10 | 106762820075520 |
| 11 | 310219486a4804 |
| 12 | bb83424517680 |
| 13 | 47758c970899b |
| 14 | 1c514c3127960 |
| 15 | c5222c9157d0 |
| hex | 6119a7f74000 |
106762820075520 has 960 divisors, whose sum is σ = 403821439107072. Its totient is φ = 23569367040000.
The previous prime is 106762820075519. The next prime is 106762820075521. The reversal of 106762820075520 is 25570028267601.
It is an interprime number because it is at equal distance from previous prime (106762820075519) and next prime (106762820075521).
It is a tau number, because it is divible by the number of its divisors (960).
It is a super-2 number, since 2×1067628200755202 (a number of 29 digits) contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (106762820075521) 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 63 ways as a sum of consecutive naturals, for example, 32051280255 + ... + 32051283585.
Almost surely, 2106762820075520 is an apocalyptic number.
106762820075520 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 106762820075520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201910719553536).
106762820075520 is an abundant number, since it is smaller than the sum of its proper divisors (297058619031552).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106762820075520 is an equidigital number, since it uses as much as digits as its factorization.
106762820075520 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4006 (or 3980 counting only the distinct ones).
The product of its (nonzero) digits is 2822400, while the sum is 51.
The spelling of 106762820075520 in words is "one hundred six trillion, seven hundred sixty-two billion, eight hundred twenty million, seventy-five thousand, five hundred twenty".
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