Search a number
-
+
105154434 = 23271175869
BaseRepresentation
bin1100100010010…
…00011110000010
321022212101202200
412101020132002
5203404420214
614233454030
72414540460
oct621103602
9238771680
10105154434
11543a20a0
122b271316
1318a29978
14dd73830
159371d09
hex6448782

105154434 has 48 divisors (see below), whose sum is σ = 284057280. Its totient is φ = 27312480.

The previous prime is 105154429. The next prime is 105154457. The reversal of 105154434 is 434451501.

It is a happy number.

It is a super-2 number, since 2×1051544342 = 22114909979720712, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105154398 and 105154407.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36549 + ... + 39320.

It is an arithmetic number, because the mean of its divisors is an integer number (5917860).

Almost surely, 2105154434 is an apocalyptic number.

105154434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

105154434 is an abundant number, since it is smaller than the sum of its proper divisors (178902846).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105154434 is a wasteful number, since it uses less digits than its factorization.

105154434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75895 (or 75892 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 105154434 is about 10254.4836047458. The cubic root of 105154434 is about 472.0005775393. Note that the first 3 decimals are identical.

The spelling of 105154434 in words is "one hundred five million, one hundred fifty-four thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 1386 75869 151738 227607 455214 531083 682821 834559 1062166 1365642 1593249 1669118 2503677 3186498 4779747 5007354 5841913 7511031 9559494 11683826 15022062 17525739 35051478 52577217 105154434