106335040 has 112 divisors (see below), whose sum is σ = 297436032. Its totient is φ = 35444736.

The previous prime is 106335029. The next prime is 106335043. The reversal of 106335040 is 40533601.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×106335040² = 22614281463603200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106335043) 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 15 ways as a sum of consecutive naturals, for example, 82239 + ... + 83521.

Almost surely, 2^106335040 is an apocalyptic number.

106335040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106335040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148718016).

106335040 is an abundant number, since it is smaller than the sum of its proper divisors (191100992).

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

106335040 is a wasteful number, since it uses less digits than its factorization.

106335040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 106335040 is about 10311.8882848875. Note that the first 3 decimals coincide. The cubic root of 106335040 is about 473.7604467636.

Adding to 106335040 its reverse (40533601), we get a palindrome (146868641).

The spelling of 106335040 in words is "one hundred six million, three hundred thirty-five thousand, forty".