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105950141 = 112875621
BaseRepresentation
bin1100101000010…
…10101110111101
321101100211021022
412110022232331
5204110401031
614302513525
72424363353
oct624125675
9241324238
10105950141
1154895a00
122b5958a5
1318c47bbb
14100dd7d3
15947c97b
hex650abbd

105950141 has 6 divisors (see below), whose sum is σ = 116457726. Its totient is φ = 96318200.

The previous prime is 105950113. The next prime is 105950147. The reversal of 105950141 is 141059501.

It can be written as a sum of positive squares in only one way, i.e., 95844100 + 10106041 = 9790^2 + 3179^2 .

It is not a de Polignac number, because 105950141 - 26 = 105950077 is a prime.

It is a super-2 number, since 2×1059501412 = 22450864755839762, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105950141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105950147) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 437690 + ... + 437931.

It is an arithmetic number, because the mean of its divisors is an integer number (19409621).

Almost surely, 2105950141 is an apocalyptic number.

105950141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105950141 is a deficient number, since it is larger than the sum of its proper divisors (10507585).

105950141 is an equidigital number, since it uses as much as digits as its factorization.

105950141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875643 (or 875632 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 26.

The square root of 105950141 is about 10293.2084890961. The cubic root of 105950141 is about 473.1881350028.

The spelling of 105950141 in words is "one hundred five million, nine hundred fifty thousand, one hundred forty-one".

Divisors: 1 11 121 875621 9631831 105950141