106009380 has 36 divisors (see below), whose sum is σ = 321562332. Its totient is φ = 28269120.

The previous prime is 106009363. The next prime is 106009391. The reversal of 106009380 is 83900601.

It can be written as a sum of positive squares in 2 ways, for example, as 37748736 + 68260644 = 6144^2 + 8262^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×106009380² = 22475977295968800, which contains 22 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 294291 + ... + 294650.

It is an arithmetic number, because the mean of its divisors is an integer number (8932287).

Almost surely, 2^106009380 is an apocalyptic number.

106009380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106009380 is an abundant number, since it is smaller than the sum of its proper divisors (215552952).

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

106009380 is a wasteful number, since it uses less digits than its factorization.

106009380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588956 (or 588951 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 106009380 is about 10296.0856639793. The cubic root of 106009380 is about 473.2763084556.

Adding to 106009380 its reverse (83900601), we get a palindrome (189909981).

The spelling of 106009380 in words is "one hundred six million, nine thousand, three hundred eighty".