106085380 has 24 divisors (see below), whose sum is σ = 223578432. Its totient is φ = 42281952.

The previous prime is 106085377. The next prime is 106085381. The reversal of 106085380 is 83580601.

It is a super-2 number, since 2×106085380² = 22508215699488800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106085381) 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 7 ways as a sum of consecutive naturals, for example, 3712 + ... + 15031.

It is an arithmetic number, because the mean of its divisors is an integer number (9315768).

Almost surely, 2^106085380 is an apocalyptic number.

106085380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106085380 is an abundant number, since it is smaller than the sum of its proper divisors (117493052).

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

106085380 is a wasteful number, since it uses less digits than its factorization.

106085380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19035 (or 19033 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 106085380 is about 10299.7757257136. The cubic root of 106085380 is about 473.3893814914.

The spelling of 106085380 in words is "one hundred six million, eighty-five thousand, three hundred eighty".