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106044100 = 22521060441
BaseRepresentation
bin1100101001000…
…01101011000100
321101112121011021
412110201223010
5204121402400
614304520524
72425234321
oct624415304
9241477137
10106044100
115494a558
122b620144
1318c7b8b6
1410125b48
15949a71a
hex6521ac4

106044100 has 18 divisors (see below), whose sum is σ = 230115914. Its totient is φ = 42417600.

The previous prime is 106044089. The next prime is 106044101. The reversal of 106044100 is 1440601.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 34269316 + 71774784 = 5854^2 + 8472^2 .

It is a super-2 number, since 2×1060441002 = 22490702289620000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106044101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 530121 + ... + 530320.

Almost surely, 2106044100 is an apocalyptic number.

106044100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106044100 is an abundant number, since it is smaller than the sum of its proper divisors (124071814).

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

106044100 is a wasteful number, since it uses less digits than its factorization.

106044100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060455 (or 1060448 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 106044100 is about 10297.7716036043. The cubic root of 106044100 is about 473.3279716821.

Adding to 106044100 its reverse (1440601), we get a palindrome (107484701).

The spelling of 106044100 in words is "one hundred six million, forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1060441 2120882 4241764 5302205 10604410 21208820 26511025 53022050 106044100