Base | Representation |
---|---|
bin | 1100100100010… |
… | …01110010110100 |
3 | 21100100222210200 |
4 | 12102021302310 |
5 | 203442001004 |
6 | 14243320500 |
7 | 2420033532 |
oct | 622116264 |
9 | 240328720 |
10 | 105422004 |
11 | 54565126 |
12 | 2b380130 |
13 | 18ac16ac |
14 | 10003152 |
15 | 93c6239 |
hex | 6489cb4 |
105422004 has 36 divisors (see below), whose sum is σ = 267881796. Its totient is φ = 34956288.
The previous prime is 105422003. The next prime is 105422027. The reversal of 105422004 is 400224501.
It can be written as a sum of positive squares in 2 ways, for example, as 65124900 + 40297104 = 8070^2 + 6348^2 .
It is a tau number, because it is divible by the number of its divisors (36).
It is a super-2 number, since 2×1054220042 = 22227597854752032, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (105422003) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 639 + ... + 14534.
It is an arithmetic number, because the mean of its divisors is an integer number (7441161).
Almost surely, 2105422004 is an apocalyptic number.
It is an amenable number.
105422004 is an abundant number, since it is smaller than the sum of its proper divisors (162459792).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105422004 is a wasteful number, since it uses less digits than its factorization.
105422004 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 15376 (or 15371 counting only the distinct ones).
The product of its (nonzero) digits is 320, while the sum is 18.
The square root of 105422004 is about 10267.5218042135. The cubic root of 105422004 is about 472.4005804094.
Adding to 105422004 its reverse (400224501), we get a palindrome (505646505).
The spelling of 105422004 in words is "one hundred five million, four hundred twenty-two thousand, four".
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