106448706 has 72 divisors (see below), whose sum is σ = 285480000. Its totient is φ = 28068768.

The previous prime is 106448677. The next prime is 106448707. The reversal of 106448706 is 607844601.

106448706 is a `hidden beast` number, since 1 + 0 + 644 + 8 + 7 + 0 + 6 = 666.

It is a super-2 number, since 2×106448706² = 22662654018148872, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106448707) 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 35 ways as a sum of consecutive naturals, for example, 18795 + ... + 23793.

It is an arithmetic number, because the mean of its divisors is an integer number (3965000).

Almost surely, 2^106448706 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106448706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142740000).

106448706 is an abundant number, since it is smaller than the sum of its proper divisors (179031294).

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

106448706 is a wasteful number, since it uses less digits than its factorization.

106448706 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5040 (or 5024 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 106448706 is about 10317.3982185433. The cubic root of 106448706 is about 473.9291941451.

It can be divided in two parts, 1064 and 48706, that added together give a triangular number (49770 = T₃₁₅).

The spelling of 106448706 in words is "one hundred six million, four hundred forty-eight thousand, seven hundred six".