106833440 has 192 divisors, whose sum is σ = 317011968. Its totient is φ = 33177600.

The previous prime is 106833431. The next prime is 106833451. The reversal of 106833440 is 44338601.

It is a super-2 number, since 2×106833440² = 22826767804467200, 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 31 ways as a sum of consecutive naturals, for example, 590150 + ... + 590330.

It is an arithmetic number, because the mean of its divisors is an integer number (1651104).

Almost surely, 2^106833440 is an apocalyptic number.

106833440 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 106833440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158505984).

106833440 is an abundant number, since it is smaller than the sum of its proper divisors (210178528).

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

106833440 is a wasteful number, since it uses less digits than its factorization.

106833440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 106833440 is about 10336.0263157560. The cubic root of 106833440 is about 474.4994764601.

The spelling of 106833440 in words is "one hundred six million, eight hundred thirty-three thousand, four hundred forty".