106208024 has 64 divisors (see below), whose sum is σ = 229824000. Its totient is φ = 45601920.

The previous prime is 106208021. The next prime is 106208051. The reversal of 106208024 is 420802601.

It is a super-2 number, since 2×106208024² = 22560288723969152, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106208021) 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, 116129 + ... + 117039.

It is an arithmetic number, because the mean of its divisors is an integer number (3591000).

Almost surely, 2^106208024 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 106208024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114912000).

106208024 is an abundant number, since it is smaller than the sum of its proper divisors (123615976).

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

106208024 is a wasteful number, since it uses less digits than its factorization.

106208024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 106208024 is about 10305.7277278220. The cubic root of 106208024 is about 473.5717377789.

The spelling of 106208024 in words is "one hundred six million, two hundred eight thousand, twenty-four".