Search a number
-
+
105454401 = 31318114939
BaseRepresentation
bin1100100100100…
…01101101000001
321100102122020120
412102101231001
5203444020101
614244130453
72420230143
oct622215501
9240378216
10105454401
11545874a8
122b396a29
1318b03370
1410010c93
1593d0b36
hex6491b41

105454401 has 16 divisors (see below), whose sum is σ = 152268480. Its totient is φ = 64532160.

The previous prime is 105454397. The next prime is 105454429. The reversal of 105454401 is 104454501.

It is a happy number.

It is not a de Polignac number, because 105454401 - 22 = 105454397 is a prime.

It is a super-2 number, since 2×1054544012 = 22241261380537602, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105454001) by changing a digit.

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, 411 + ... + 14528.

It is an arithmetic number, because the mean of its divisors is an integer number (9516780).

Almost surely, 2105454401 is an apocalyptic number.

It is an amenable number.

105454401 is a deficient number, since it is larger than the sum of its proper divisors (46814079).

105454401 is a wasteful number, since it uses less digits than its factorization.

105454401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15136.

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 105454401 is about 10269.0993275944. The cubic root of 105454401 is about 472.4489662415.

It can be divided in two parts, 1054 and 54401, that added together give a palindrome (55455).

The spelling of 105454401 in words is "one hundred five million, four hundred fifty-four thousand, four hundred one".

Divisors: 1 3 13 39 181 543 2353 7059 14939 44817 194207 582621 2703959 8111877 35151467 105454401