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106085344 = 256154347
BaseRepresentation
bin1100101001010…
…11101111100000
321101121200201211
412110223233200
5204124212334
614305435504
72425465501
oct624535740
9241550654
10106085344
1154978542
122b63bb94
1318c945c1
1410136ba8
1594a7a64
hex652bbe0

106085344 has 24 divisors (see below), whose sum is σ = 212283288. Its totient is φ = 52172160.

The previous prime is 106085333. The next prime is 106085347. The reversal of 106085344 is 443580601.

It is a happy number.

It is a super-2 number, since 2×1060853442 = 22508200423196672, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106085347) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25222 + ... + 29125.

It is an arithmetic number, because the mean of its divisors is an integer number (8845137).

Almost surely, 2106085344 is an apocalyptic number.

It is an amenable number.

106085344 is an abundant number, since it is smaller than the sum of its proper divisors (106197944).

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

106085344 is an equidigital number, since it uses as much as digits as its factorization.

106085344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54418 (or 54410 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 106085344 is about 10299.7739781026. The cubic root of 106085344 is about 473.3893279433.

The spelling of 106085344 in words is "one hundred six million, eighty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 61 122 244 488 976 1952 54347 108694 217388 434776 869552 1739104 3315167 6630334 13260668 26521336 53042672 106085344