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106085985 = 357072399
BaseRepresentation
bin1100101001010…
…11111001100001
321101121201121120
412110223321201
5204124222420
614305442453
72425500405
oct624537141
9241551546
10106085985
1154978a75
122b640429
1318c94995
1410137105
1594a7d40
hex652be61

106085985 has 8 divisors (see below), whose sum is σ = 169737600. Its totient is φ = 56579184.

The previous prime is 106085981. The next prime is 106086007. The reversal of 106085985 is 589580601.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 106085985 - 22 = 106085981 is a prime.

It is a super-2 number, since 2×1060859852 = 22508472426840450, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106085981) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3536185 + ... + 3536214.

It is an arithmetic number, because the mean of its divisors is an integer number (21217200).

Almost surely, 2106085985 is an apocalyptic number.

106085985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106085985 is a deficient number, since it is larger than the sum of its proper divisors (63651615).

106085985 is an equidigital number, since it uses as much as digits as its factorization.

106085985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7072407.

The product of its (nonzero) digits is 86400, while the sum is 42.

The square root of 106085985 is about 10299.8050952433. The cubic root of 106085985 is about 473.3902813956.

The spelling of 106085985 in words is "one hundred six million, eighty-five thousand, nine hundred eighty-five".

Divisors: 1 3 5 15 7072399 21217197 35361995 106085985