106085070 has 96 divisors (see below), whose sum is σ = 339498432. Its totient is φ = 22381056.

The previous prime is 106085041. The next prime is 106085093. The reversal of 106085070 is 70580601.

106085070 is a `hidden beast` number, since 1 + 0 + 608 + 50 + 7 + 0 = 666.

It is a super-2 number, since 2×106085070² = 22508084153809800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1714 + ... + 14666.

It is an arithmetic number, because the mean of its divisors is an integer number (3536442).

Almost surely, 2^106085070 is an apocalyptic number.

106085070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106085070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169749216).

106085070 is an abundant number, since it is smaller than the sum of its proper divisors (233413362).

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

106085070 is a wasteful number, since it uses less digits than its factorization.

106085070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12986 (or 12983 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 106085070 is about 10299.7606768313. The cubic root of 106085070 is about 473.3889203822.

The spelling of 106085070 in words is "one hundred six million, eighty-five thousand, seventy".