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105106250 = 25567251
BaseRepresentation
bin1100100001111…
…00101101001010
321022202221200002
412100330231022
5203401400000
614232443002
72414250134
oct620745512
9238687602
10105106250
1154369977
122b249462
1318a10a62
14dd60054
1593628d5
hex643cb4a

105106250 has 48 divisors (see below), whose sum is σ = 200799648. Its totient is φ = 41250000.

The previous prime is 105106217. The next prime is 105106273. The reversal of 105106250 is 52601501.

It is a super-2 number, since 2×1051062502 = 22094647578125000, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 418625 + ... + 418875.

It is an arithmetic number, because the mean of its divisors is an integer number (4183326).

Almost surely, 2105106250 is an apocalyptic number.

105106250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105106250 is a deficient number, since it is larger than the sum of its proper divisors (95693398).

105106250 is an frugal number, since it uses more digits than its factorization.

105106250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 325 counting only the distinct ones).

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

The square root of 105106250 is about 10252.1339242130. The cubic root of 105106250 is about 471.9284729543.

Adding to 105106250 its reverse (52601501), we get a palindrome (157707751).

The spelling of 105106250 in words is "one hundred five million, one hundred six thousand, two hundred fifty".

Divisors: 1 2 5 10 25 50 67 125 134 250 251 335 502 625 670 1250 1255 1675 2510 3125 3350 6250 6275 8375 12550 16750 16817 31375 33634 41875 62750 83750 84085 156875 168170 209375 313750 418750 420425 784375 840850 1568750 2102125 4204250 10510625 21021250 52553125 105106250