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105225050 = 25272291481
BaseRepresentation
bin1100100010110…
…01101101011010
321022222222122002
412101121231122
5203414200200
614235201002
72415253400
oct621315532
9238888562
10105225050
1154440157
122b2a6162
1318a52b58
14dd91470
159387bd5
hex6459b5a

105225050 has 72 divisors (see below), whose sum is σ = 235682460. Its totient is φ = 34809600.

The previous prime is 105225049. The next prime is 105225083. The reversal of 105225050 is 50522501.

It can be written as a sum of positive squares in 6 ways, for example, as 35485849 + 69739201 = 5957^2 + 8351^2 .

It is a super-2 number, since 2×1052250502 = 22144622295005000, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 70310 + ... + 71790.

Almost surely, 2105225050 is an apocalyptic number.

105225050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105225050 is an abundant number, since it is smaller than the sum of its proper divisors (130457410).

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

105225050 is a wasteful number, since it uses less digits than its factorization.

105225050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1536 (or 1524 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 20.

The square root of 105225050 is about 10257.9262036729. The cubic root of 105225050 is about 472.1062105378.

Adding to 105225050 its reverse (50522501), we get a palindrome (155747551).

The spelling of 105225050 in words is "one hundred five million, two hundred twenty-five thousand, fifty".

Divisors: 1 2 5 7 10 14 25 29 35 49 50 58 70 98 145 175 203 245 290 350 406 490 725 1015 1225 1421 1450 1481 2030 2450 2842 2962 5075 7105 7405 10150 10367 14210 14810 20734 35525 37025 42949 51835 71050 72569 74050 85898 103670 145138 214745 259175 300643 362845 429490 518350 601286 725690 1073725 1503215 1814225 2104501 2147450 3006430 3628450 4209002 7516075 10522505 15032150 21045010 52612525 105225050