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105070075 = 5211382073
BaseRepresentation
bin1100100001100…
…11110111111011
321022201010001021
412100303313323
5203344220300
614232003311
72414036515
oct620636773
9238633037
10105070075
1154344780
122b230537
13189ca456
14dd50bb5
159356d1a
hex6433dfb

105070075 has 12 divisors (see below), whose sum is σ = 142131528. Its totient is φ = 76414400.

The previous prime is 105070073. The next prime is 105070111. The reversal of 105070075 is 570070501.

It is not a de Polignac number, because 105070075 - 21 = 105070073 is a prime.

It is a super-3 number, since 3×1050700753 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (105070073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 190762 + ... + 191311.

It is an arithmetic number, because the mean of its divisors is an integer number (11844294).

Almost surely, 2105070075 is an apocalyptic number.

105070075 is a deficient number, since it is larger than the sum of its proper divisors (37061453).

105070075 is a wasteful number, since it uses less digits than its factorization.

105070075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382094 (or 382089 counting only the distinct ones).

The product of its (nonzero) digits is 1225, while the sum is 25.

The square root of 105070075 is about 10250.3695055349. The cubic root of 105070075 is about 471.8743246632.

The spelling of 105070075 in words is "one hundred five million, seventy thousand, seventy-five".

Divisors: 1 5 11 25 55 275 382073 1910365 4202803 9551825 21014015 105070075