| Base | Representation |
|---|---|
| bin | 10111111110100100110110… |
| … | …101111011110000000000000 |
| 3 | 111211101102102201102210000000 |
| 4 | 113332210312233132000000 |
| 5 | 102310234323102311000 |
| 6 | 1012141250120000000 |
| 7 | 31132614261550200 |
| oct | 2776446657360000 |
| 9 | 454342381383000 |
| 10 | 105455250432000 |
| 11 | 30668358724387 |
| 12 | b9b1b26000000 |
| 13 | 46ac5062ab051 |
| 14 | 1c080c04dc400 |
| 15 | c2d1ee1a3000 |
| hex | 5fe936bde000 |
105455250432000 has 4032 divisors, whose sum is σ = 474477887557440. Its totient is φ = 23326507008000.
The previous prime is 105455250431977. The next prime is 105455250432011. The reversal of 105455250432000 is 234052554501.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
105455250432000 is a `hidden beast` number, since 1 + 0 + 54 + 552 + 50 + 4 + 3 + 2 + 0 + 0 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (4032).
It is a super-2 number, since 2×1054552504320002 (a number of 29 digits) 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 an unprimeable number.
It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3401782271985 + ... + 3401782272015.
Almost surely, 2105455250432000 is an apocalyptic number.
105455250432000 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 105455250432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237238943778720).
105455250432000 is an abundant number, since it is smaller than the sum of its proper divisors (369022637125440).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105455250432000 is an frugal number, since it uses more digits than its factorization.
105455250432000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 138 (or 48 counting only the distinct ones).
The product of its (nonzero) digits is 120000, while the sum is 36.
The spelling of 105455250432000 in words is "one hundred five trillion, four hundred fifty-five billion, two hundred fifty million, four hundred thirty-two thousand".
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