Search a number
-
+
105464333 = 1310697589
BaseRepresentation
bin1100100100101…
…00001000001101
321100110010212102
412102110020031
5203444324313
614244244445
72420301122
oct622241015
9240403772
10105464333
1154593a07
122b3a0725
1318b07a40
1410014749
1593d3a58
hex649420d

105464333 has 8 divisors (see below), whose sum is σ = 113698200. Its totient is φ = 97247808.

The previous prime is 105464321. The next prime is 105464339. The reversal of 105464333 is 333464501.

It can be written as a sum of positive squares in 4 ways, for example, as 2502724 + 102961609 = 1582^2 + 10147^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105464333 - 212 = 105460237 is a prime.

It is a super-2 number, since 2×1054643332 = 22245451070269778, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105464296 and 105464305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105464339) 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, 10103 + ... + 17691.

It is an arithmetic number, because the mean of its divisors is an integer number (14212275).

Almost surely, 2105464333 is an apocalyptic number.

105464333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105464333 is a deficient number, since it is larger than the sum of its proper divisors (8233867).

105464333 is a wasteful number, since it uses less digits than its factorization.

105464333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8671.

The product of its (nonzero) digits is 12960, while the sum is 29.

The square root of 105464333 is about 10269.5829029226. The cubic root of 105464333 is about 472.4637979785.

The spelling of 105464333 in words is "one hundred five million, four hundred sixty-four thousand, three hundred thirty-three".

Divisors: 1 13 1069 7589 13897 98657 8112641 105464333