106449024 has 192 divisors, whose sum is σ = 325584000. Its totient is φ = 30750720.

The previous prime is 106449011. The next prime is 106449041. The reversal of 106449024 is 420944601.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×106449024² = 22662789421105152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106448982 and 106449000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1347417 + ... + 1347495.

It is an arithmetic number, because the mean of its divisors is an integer number (1695750).

Almost surely, 2^106449024 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 106449024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162792000).

106449024 is an abundant number, since it is smaller than the sum of its proper divisors (219134976).

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

106449024 is a wasteful number, since it uses less digits than its factorization.

106449024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 106449024 is about 10317.4136293938. The cubic root of 106449024 is about 473.9296660761.

Adding to 106449024 its product of nonzero digits (6912), we get a triangular number (106455936 = T₁₄₅₉₁).

The spelling of 106449024 in words is "one hundred six million, four hundred forty-nine thousand, twenty-four".