106805424 has 160 divisors (see below), whose sum is σ = 325050624. Its totient is φ = 29859840.

The previous prime is 106805423. The next prime is 106805443. The reversal of 106805424 is 424508601.

It is a super-2 number, since 2×106805424² = 22814797191639552, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106805391 and 106805400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106805423) 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, 655167 + ... + 655329.

Almost surely, 2^106805424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106805424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162525312).

106805424 is an abundant number, since it is smaller than the sum of its proper divisors (218245200).

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

106805424 is a wasteful number, since it uses less digits than its factorization.

106805424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 106805424 is about 10334.6709671861. The cubic root of 106805424 is about 474.4579952550.

The spelling of 106805424 in words is "one hundred six million, eight hundred five thousand, four hundred twenty-four".