106806048 has 96 divisors (see below), whose sum is σ = 289396800. Its totient is φ = 34477056.

The previous prime is 106806047. The next prime is 106806079. The reversal of 106806048 is 840608601.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×106806048² = 22815063778756608, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106806047) 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, 617290 + ... + 617462.

It is an arithmetic number, because the mean of its divisors is an integer number (3014550).

Almost surely, 2^106806048 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 106806048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144698400).

106806048 is an abundant number, since it is smaller than the sum of its proper divisors (182590752).

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

106806048 is a wasteful number, since it uses less digits than its factorization.

106806048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 106806048 is about 10334.7011567824. The cubic root of 106806048 is about 474.4589192443.

The spelling of 106806048 in words is "one hundred six million, eight hundred six thousand, forty-eight".