106846040 has 128 divisors (see below), whose sum is σ = 293621760. Its totient is φ = 34197504.

The previous prime is 106846031. The next prime is 106846043. The reversal of 106846040 is 40648601.

It is a super-3 number, since 3×106846040³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 106845994 and 106846012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106846043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 302504 + ... + 302856.

It is an arithmetic number, because the mean of its divisors is an integer number (2293920).

Almost surely, 2^106846040 is an apocalyptic number.

106846040 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 106846040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146810880).

106846040 is an abundant number, since it is smaller than the sum of its proper divisors (186775720).

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

106846040 is a wasteful number, since it uses less digits than its factorization.

106846040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 106846040 is about 10336.6358163573. The cubic root of 106846040 is about 474.5181299778.

The spelling of 106846040 in words is "one hundred six million, eight hundred forty-six thousand, forty".