106806040 has 64 divisors (see below), whose sum is σ = 266146560. Its totient is φ = 38248320.

The previous prime is 106806017. The next prime is 106806047. The reversal of 106806040 is 40608601.

It is a super-2 number, since 2×106806040² = 22815060360963200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106805996 and 106806014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106806047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27669 + ... + 31291.

It is an arithmetic number, because the mean of its divisors is an integer number (4158540).

Almost surely, 2^106806040 is an apocalyptic number.

106806040 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 106806040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133073280).

106806040 is an abundant number, since it is smaller than the sum of its proper divisors (159340520).

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

106806040 is a wasteful number, since it uses less digits than its factorization.

106806040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3712 (or 3708 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 106806040 is about 10334.7007697369. The cubic root of 106806040 is about 474.4589073983.

The spelling of 106806040 in words is "one hundred six million, eight hundred six thousand, forty".