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105242434 = 2112329043
BaseRepresentation
bin1100100010111…
…01111101000010
321100000212110221
412101131331002
5203420224214
614235413254
72415355153
oct621357502
9240025427
10105242434
1154452220
122b2b422a
1318a5aa3b
14dd9792a
15938ce24
hex645df42

105242434 has 24 divisors (see below), whose sum is σ = 180047952. Its totient is φ = 45752520.

The previous prime is 105242383. The next prime is 105242477. The reversal of 105242434 is 434242501.

It is a happy number.

It is a super-2 number, since 2×1052424342 = 22151939828488712, which contains 22 as substring.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 105242399 and 105242408.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7117 + ... + 16159.

It is an arithmetic number, because the mean of its divisors is an integer number (7501998).

Almost surely, 2105242434 is an apocalyptic number.

105242434 is a deficient number, since it is larger than the sum of its proper divisors (74805518).

105242434 is a wasteful number, since it uses less digits than its factorization.

105242434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9102 (or 9079 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 105242434 is about 10258.7735134372. The cubic root of 105242434 is about 472.1322076505.

Adding to 105242434 its reverse (434242501), we get a palindrome (539484935).

The spelling of 105242434 in words is "one hundred five million, two hundred forty-two thousand, four hundred thirty-four".

Divisors: 1 2 11 22 23 46 253 506 529 1058 5819 9043 11638 18086 99473 198946 207989 415978 2287879 4575758 4783747 9567494 52621217 105242434