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105034374 = 2334147441
BaseRepresentation
bin1100100001010…
…11001010000110
321022122022002000
412100223022012
5203342044444
614231130130
72413530444
oct620531206
9238568060
10105034374
115431a975
122b213946
13189b7123
14dd41b94
15934b469
hex642b286

105034374 has 32 divisors (see below), whose sum is σ = 239107680. Its totient is φ = 34156800.

The previous prime is 105034373. The next prime is 105034409. The reversal of 105034374 is 473430501.

It is a super-2 number, since 2×1050343742 = 22064439443143752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105034373) 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, 21507 + ... + 25934.

It is an arithmetic number, because the mean of its divisors is an integer number (7472115).

Almost surely, 2105034374 is an apocalyptic number.

105034374 is an abundant number, since it is smaller than the sum of its proper divisors (134073306).

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

105034374 is a wasteful number, since it uses less digits than its factorization.

105034374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47493 (or 47487 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 105034374 is about 10248.6279081641. The cubic root of 105034374 is about 471.8208736888.

Adding to 105034374 its reverse (473430501), we get a palindrome (578464875).

The spelling of 105034374 in words is "one hundred five million, thirty-four thousand, three hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 41 54 82 123 246 369 738 1107 2214 47441 94882 142323 284646 426969 853938 1280907 1945081 2561814 3890162 5835243 11670486 17505729 35011458 52517187 105034374