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105070225 = 52131132861
BaseRepresentation
bin1100100001100…
…11111010010001
321022201010020211
412100303322101
5203344221400
614232004121
72414040121
oct620637221
9238633224
10105070225
11543448a7
122b230641
13189ca540
14dd50c81
159356dba
hex6433e91

105070225 has 24 divisors (see below), whose sum is σ = 141600312. Its totient is φ = 76876800.

The previous prime is 105070213. The next prime is 105070267. The reversal of 105070225 is 522070501.

It can be written as a sum of positive squares in 12 ways, for example, as 76895361 + 28174864 = 8769^2 + 5308^2 .

It is not a de Polignac number, because 105070225 - 223 = 96681617 is a prime.

It is a super-2 number, since 2×1050702252 = 22079504363101250, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105070196 and 105070205.

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, 35295 + ... + 38155.

It is an arithmetic number, because the mean of its divisors is an integer number (5900013).

Almost surely, 2105070225 is an apocalyptic number.

It is an amenable number.

105070225 is a deficient number, since it is larger than the sum of its proper divisors (36530087).

105070225 is a wasteful number, since it uses less digits than its factorization.

105070225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2997 (or 2992 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 22.

The square root of 105070225 is about 10250.3768223417. The cubic root of 105070225 is about 471.8745492152.

The spelling of 105070225 in words is "one hundred five million, seventy thousand, two hundred twenty-five".

Divisors: 1 5 13 25 65 113 325 565 1469 2825 2861 7345 14305 36725 37193 71525 185965 323293 929825 1616465 4202809 8082325 21014045 105070225