Base | Representation |
---|---|
bin | 1100100010000… |
… | …10101111010000 |
3 | 21022211012120021 |
4 | 12101002233100 |
5 | 203403142320 |
6 | 14233153224 |
7 | 2414412154 |
oct | 621025720 |
9 | 238735507 |
10 | 105130960 |
11 | 543864a0 |
12 | 2b25b814 |
13 | 18a1c08c |
14 | dd69064 |
15 | 9369daa |
hex | 6442bd0 |
105130960 has 80 divisors (see below), whose sum is σ = 268464960. Its totient is φ = 37969920.
The previous prime is 105130957. The next prime is 105131017. The reversal of 105130960 is 69031501.
It is a tau number, because it is divible by the number of its divisors (80).
It is a super-2 number, since 2×1051309602 = 22105037501043200, which contains 22 as substring.
It is a congruent number.
It is an unprimeable number.
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 15 ways as a sum of consecutive naturals, for example, 169531 + ... + 170149.
It is an arithmetic number, because the mean of its divisors is an integer number (3355812).
Almost surely, 2105130960 is an apocalyptic number.
105130960 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 105130960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134232480).
105130960 is an abundant number, since it is smaller than the sum of its proper divisors (163334000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105130960 is a wasteful number, since it uses less digits than its factorization.
105130960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 836 (or 830 counting only the distinct ones).
The product of its (nonzero) digits is 810, while the sum is 25.
The square root of 105130960 is about 10253.3389683556. The cubic root of 105130960 is about 471.9654528004.
The spelling of 105130960 in words is "one hundred five million, one hundred thirty thousand, nine hundred sixty".
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