106590380 has 48 divisors (see below), whose sum is σ = 253757280. Its totient is φ = 37283328.

The previous prime is 106590373. The next prime is 106590461. The reversal of 106590380 is 83095601.

It is a super-2 number, since 2×106590380² = 22723018217088800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5849 + ... + 15728.

It is an arithmetic number, because the mean of its divisors is an integer number (5286610).

Almost surely, 2^106590380 is an apocalyptic number.

106590380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106590380 is an abundant number, since it is smaller than the sum of its proper divisors (147166900).

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

106590380 is a wasteful number, since it uses less digits than its factorization.

106590380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21618 (or 21616 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 106590380 is about 10324.2617169462. The cubic root of 106590380 is about 474.1393538292.

The spelling of 106590380 in words is "one hundred six million, five hundred ninety thousand, three hundred eighty".