106031424 has 112 divisors (see below), whose sum is σ = 294436800. Its totient is φ = 33632256.

The previous prime is 106031423. The next prime is 106031537. The reversal of 106031424 is 424130601.

It is a super-2 number, since 2×106031424² = 22485325750935552, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106031424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106031423) 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, 762747 + ... + 762885.

It is an arithmetic number, because the mean of its divisors is an integer number (2628900).

Almost surely, 2^106031424 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 106031424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147218400).

106031424 is an abundant number, since it is smaller than the sum of its proper divisors (188405376).

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

106031424 is a wasteful number, since it uses less digits than its factorization.

106031424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 106031424 is about 10297.1561122477. The cubic root of 106031424 is about 473.3091111500.

The spelling of 106031424 in words is "one hundred six million, thirty-one thousand, four hundred twenty-four".