Search a number
-
+
105354548 = 22133136473
BaseRepresentation
bin1100100011110…
…01010100110100
321100020120021022
412101321110310
5203432321143
614242040312
72416333055
oct621712464
9240216238
10105354548
1154519482
122b349098
1318a99a90
14ddc672c
1593b1268
hex6479534

105354548 has 24 divisors (see below), whose sum is σ = 199217928. Its totient is φ = 48462336.

The previous prime is 105354547. The next prime is 105354553. The reversal of 105354548 is 845453501.

It can be written as a sum of positive squares in 4 ways, for example, as 10837264 + 94517284 = 3292^2 + 9722^2 .

It is a super-2 number, since 2×1053545482 = 22199161568568608, which contains 22 as substring.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105354541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13040 + ... + 19512.

It is an arithmetic number, because the mean of its divisors is an integer number (8300747).

Almost surely, 2105354548 is an apocalyptic number.

It is an amenable number.

105354548 is a deficient number, since it is larger than the sum of its proper divisors (93863380).

105354548 is a wasteful number, since it uses less digits than its factorization.

105354548 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6803 (or 6801 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 35.

The square root of 105354548 is about 10264.2363573721. The cubic root of 105354548 is about 472.2998011556.

The spelling of 105354548 in words is "one hundred five million, three hundred fifty-four thousand, five hundred forty-eight".

Divisors: 1 2 4 13 26 52 313 626 1252 4069 6473 8138 12946 16276 25892 84149 168298 336596 2026049 4052098 8104196 26338637 52677274 105354548