106024672 has 48 divisors (see below), whose sum is σ = 225841392. Its totient is φ = 48706560.

The previous prime is 106024657. The next prime is 106024679. The reversal of 106024672 is 276420601.

It is a super-2 number, since 2×106024672² = 22482462145415168, 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 106024672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106024679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116443 + ... + 117349.

It is an arithmetic number, because the mean of its divisors is an integer number (4705029).

Almost surely, 2^106024672 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 106024672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112920696).

106024672 is an abundant number, since it is smaller than the sum of its proper divisors (119816720).

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

106024672 is a wasteful number, since it uses less digits than its factorization.

106024672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 106024672 is about 10296.8282495145. The cubic root of 106024672 is about 473.2990642827.

The spelling of 106024672 in words is "one hundred six million, twenty-four thousand, six hundred seventy-two".