106329940 has 12 divisors (see below), whose sum is σ = 223292916. Its totient is φ = 42531968.

The previous prime is 106329931. The next prime is 106329941. The reversal of 106329940 is 49923601.

It can be written as a sum of positive squares in 2 ways, for example, as 41011216 + 65318724 = 6404^2 + 8082^2 .

It is a super-2 number, since 2×106329940² = 22612112280807200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106329896 and 106329905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106329941) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2658229 + ... + 2658268.

It is an arithmetic number, because the mean of its divisors is an integer number (18607743).

Almost surely, 2^106329940 is an apocalyptic number.

106329940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106329940 is an abundant number, since it is smaller than the sum of its proper divisors (116962976).

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

106329940 is a wasteful number, since it uses less digits than its factorization.

106329940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5316506 (or 5316504 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The square root of 106329940 is about 10311.6409945265. The cubic root of 106329940 is about 473.7528725375.

The spelling of 106329940 in words is "one hundred six million, three hundred twenty-nine thousand, nine hundred forty".