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105242442 = 2343140697
BaseRepresentation
bin1100100010111…
…01111101001010
321100000212111020
412101131331022
5203420224232
614235413310
72415355164
oct621357512
9240025436
10105242442
1154452228
122b2b4236
1318a5aa46
14dd97934
15938ce2c
hex645df4a

105242442 has 16 divisors (see below), whose sum is σ = 210978432. Its totient is φ = 34998560.

The previous prime is 105242383. The next prime is 105242477. The reversal of 105242442 is 244242501.

It is a happy number.

It is a super-3 number, since 3×1052424423 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17763 + ... + 22934.

It is an arithmetic number, because the mean of its divisors is an integer number (13186152).

Almost surely, 2105242442 is an apocalyptic number.

105242442 is an abundant number, since it is smaller than the sum of its proper divisors (105735990).

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

105242442 is a wasteful number, since it uses less digits than its factorization.

105242442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41133.

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 105242442 is about 10258.7739033473. The cubic root of 105242442 is about 472.1322196135.

Adding to 105242442 its reverse (244242501), we get a palindrome (349484943).

The spelling of 105242442 in words is "one hundred five million, two hundred forty-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 431 862 1293 2586 40697 81394 122091 244182 17540407 35080814 52621221 105242442