Base | Representation |
---|---|
bin | 1100100010001… |
… | …11110000000000 |
3 | 21022212020201120 |
4 | 12101013300000 |
5 | 203404321423 |
6 | 14233432240 |
7 | 2414526051 |
oct | 621076000 |
9 | 238766646 |
10 | 105151488 |
11 | 5439a962 |
12 | 2b26b680 |
13 | 18a28520 |
14 | dd72728 |
15 | 9370ee3 |
hex | 6447c00 |
105151488 has 88 divisors (see below), whose sum is σ = 301940688. Its totient is φ = 32342016.
The previous prime is 105151483. The next prime is 105151489. The reversal of 105151488 is 884151501.
It is a super-2 number, since 2×1051514882 = 22113670857228288, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (105151481) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38620 + ... + 41252.
Almost surely, 2105151488 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 105151488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150970344).
105151488 is an abundant number, since it is smaller than the sum of its proper divisors (196789200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105151488 is a wasteful number, since it uses less digits than its factorization.
105151488 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2669 (or 2651 counting only the distinct ones).
The product of its (nonzero) digits is 6400, while the sum is 33.
The square root of 105151488 is about 10254.3399592563. The cubic root of 105151488 is about 471.9961696520.
The spelling of 105151488 in words is "one hundred five million, one hundred fifty-one thousand, four hundred eighty-eight".
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