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105344254530 = 23251649370969
BaseRepresentation
bin110001000011100000…
…0011100001001000010
3101001220121210121020200
41202013000130021002
53211221112121110
6120221112550030
710416346250334
oct1420700341102
9331817717220
10105344254530
11407490a3689
12184bb6b2316
139c1aa92328
145154b35454
152b184e26c0
hex188701c242

105344254530 has 48 divisors (see below), whose sum is σ = 273915528120. Its totient is φ = 28089702144.

The previous prime is 105344254453. The next prime is 105344254537. The reversal of 105344254530 is 35452443501.

105344254530 is a `hidden beast` number, since 1 + 0 + 5 + 34 + 42 + 54 + 530 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 28366306929 + 76977947601 = 168423^2 + 277449^2 .

It is a super-2 number, since 2×1053442545302 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105344254537) 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, 1448886 + ... + 1519854.

Almost surely, 2105344254530 is an apocalyptic number.

105344254530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105344254530 is an abundant number, since it is smaller than the sum of its proper divisors (168571273590).

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

105344254530 is a wasteful number, since it uses less digits than its factorization.

105344254530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87475 (or 87472 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 105344254530 in words is "one hundred five billion, three hundred forty-four million, two hundred fifty-four thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 16493 32986 49479 70969 82465 98958 141938 148437 164930 212907 247395 296874 354845 425814 494790 638721 709690 742185 1064535 1277442 1484370 2129070 3193605 6387210 1170491717 2340983434 3511475151 5852458585 7022950302 10534425453 11704917170 17557375755 21068850906 35114751510 52672127265 105344254530