| Base | Representation |
|---|---|
| bin | 11000000111111101001110… |
| … | …100100010110100010000000 |
| 3 | 111220200001101010102100120200 |
| 4 | 120013331032210112202000 |
| 5 | 102401320041141443113 |
| 6 | 1013353341412005200 |
| 7 | 31230315212330322 |
| oct | 3007751644264200 |
| 9 | 456601333370520 |
| 10 | 106099895265408 |
| 11 | 3089679294a010 |
| 12 | ba96a54300800 |
| 13 | 472823c3a4935 |
| 14 | 1c2b395b9b612 |
| 15 | c3ed7d6a4873 |
| hex | 607f4e916880 |
106099895265408 has 384 divisors, whose sum is σ = 338018722928640. Its totient is φ = 31674401740800.
The previous prime is 106099895265407. The next prime is 106099895265439. The reversal of 106099895265408 is 804562598990601.
106099895265408 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 9 + 98 + 9 + 526 + 5 + 4 + 0 + 8 = 666.
It is a tau number, because it is divible by the number of its divisors (384).
It is a super-2 number, since 2×1060998952654082 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is not an unprimeable number, because it can be changed into a prime (106099895265407) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1193873391 + ... + 1193962257.
It is an arithmetic number, because the mean of its divisors is an integer number (880257090960).
Almost surely, 2106099895265408 is an apocalyptic number.
106099895265408 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 106099895265408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169009361464320).
106099895265408 is an abundant number, since it is smaller than the sum of its proper divisors (231918827663232).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106099895265408 is a wasteful number, since it uses less digits than its factorization.
106099895265408 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 90296 (or 90281 counting only the distinct ones).
The product of its (nonzero) digits is 335923200, while the sum is 72.
The spelling of 106099895265408 in words is "one hundred six trillion, ninety-nine billion, eight hundred ninety-five million, two hundred sixty-five thousand, four hundred eight".
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