| Base | Representation |
|---|---|
| bin | 1100000101101… |
| … | …01010001110000 |
| 3 | 21001210221121200 |
| 4 | 12002311101300 |
| 5 | 201424441213 |
| 6 | 14021251200 |
| 7 | 2340635520 |
| oct | 602652160 |
| 9 | 231727550 |
| 10 | 101405808 |
| 11 | 52271759 |
| 12 | 29b63b00 |
| 13 | 1801664a |
| 14 | d679680 |
| 15 | 8d81273 |
| hex | 60b5470 |
101405808 has 120 divisors (see below), whose sum is σ = 335618400. Its totient is φ = 27965952.
The previous prime is 101405803. The next prime is 101405813. The reversal of 101405808 is 808504101.
It is an interprime number because it is at equal distance from previous prime (101405803) and next prime (101405813).
It is a super-2 number, since 2×1014058082 = 20566275792265728, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (101405803) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27498 + ... + 30966.
It is an arithmetic number, because the mean of its divisors is an integer number (2796820).
Almost surely, 2101405808 is an apocalyptic number.
101405808 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 101405808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167809200).
101405808 is an abundant number, since it is smaller than the sum of its proper divisors (234212592).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101405808 is a wasteful number, since it uses less digits than its factorization.
101405808 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3519 (or 3510 counting only the distinct ones).
The product of its (nonzero) digits is 1280, while the sum is 27.
The square root of 101405808 is about 10070.0450843082. The cubic root of 101405808 is about 466.3238307375.
Adding to 101405808 its reverse (808504101), we get a palindrome (909909909).
The spelling of 101405808 in words is "one hundred one million, four hundred five thousand, eight hundred eight".
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