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105373242 = 232131726489
BaseRepresentation
bin1100100011111…
…01111000111010
321100021111220200
412101331320322
5203433420432
614242303030
72416441422
oct621757072
9240244820
10105373242
1154531527
122b357a76
1318aa5440
14ddcd482
1593b6a7c
hex647de3a

105373242 has 48 divisors (see below), whose sum is σ = 260343720. Its totient is φ = 30514176.

The previous prime is 105373217. The next prime is 105373249. The reversal of 105373242 is 242373501.

It can be written as a sum of positive squares in 4 ways, for example, as 73462041 + 31911201 = 8571^2 + 5649^2 .

It is a super-2 number, since 2×1053732422 = 22207040259181128, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105373249) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9267 + ... + 17222.

Almost surely, 2105373242 is an apocalyptic number.

105373242 is an abundant number, since it is smaller than the sum of its proper divisors (154970478).

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

105373242 is a wasteful number, since it uses less digits than its factorization.

105373242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26527 (or 26524 counting only the distinct ones).

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

The square root of 105373242 is about 10265.1469546227. The cubic root of 105373242 is about 472.3277342965.

The spelling of 105373242 in words is "one hundred five million, three hundred seventy-three thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 78 102 117 153 221 234 306 442 663 1326 1989 3978 26489 52978 79467 158934 238401 344357 450313 476802 688714 900626 1033071 1350939 2066142 2701878 3099213 4052817 5854069 6198426 8105634 11708138 17562207 35124414 52686621 105373242