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105115430 = 2572953977
BaseRepresentation
bin1100100001111…
…10111100100110
321022210102021002
412100332330212
5203402143210
614232553302
72414315660
oct620767446
9238712232
10105115430
1154375862
122b252832
1318a14ca4
14dd63530
1593654a5
hex643ef26

105115430 has 64 divisors (see below), whose sum is σ = 228147840. Its totient is φ = 34105344.

The previous prime is 105115427. The next prime is 105115441. The reversal of 105115430 is 34511501.

It is a super-2 number, since 2×1051154302 = 22098507248169800, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107102 + ... + 108078.

It is an arithmetic number, because the mean of its divisors is an integer number (3564810).

Almost surely, 2105115430 is an apocalyptic number.

105115430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105115430 is an abundant number, since it is smaller than the sum of its proper divisors (123032410).

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

105115430 is a wasteful number, since it uses less digits than its factorization.

105115430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073.

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 105115430 is about 10252.5816261076. The cubic root of 105115430 is about 471.9422119954.

Adding to 105115430 its reverse (34511501), we get a palindrome (139626931).

The spelling of 105115430 in words is "one hundred five million, one hundred fifteen thousand, four hundred thirty".

Divisors: 1 2 5 7 10 14 29 35 53 58 70 106 145 203 265 290 371 406 530 742 977 1015 1537 1855 1954 2030 3074 3710 4885 6839 7685 9770 10759 13678 15370 21518 28333 34195 51781 53795 56666 68390 103562 107590 141665 198331 258905 283330 362467 396662 517810 724934 991655 1501649 1812335 1983310 3003298 3624670 7508245 10511543 15016490 21023086 52557715 105115430