106548288 has 112 divisors (see below), whose sum is σ = 351519744. Its totient is φ = 27671040.

The previous prime is 106548287. The next prime is 106548307. The reversal of 106548288 is 882845601.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×106548288² = 22705075351461888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106548283) 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 15 ways as a sum of consecutive naturals, for example, 11181 + ... + 18387.

Almost surely, 2^106548288 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 106548288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175759872).

106548288 is an abundant number, since it is smaller than the sum of its proper divisors (244971456).

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

106548288 is a wasteful number, since it uses less digits than its factorization.

106548288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7240 (or 7230 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The square root of 106548288 is about 10322.2230163856. The cubic root of 106548288 is about 474.0769338707.

The spelling of 106548288 in words is "one hundred six million, five hundred forty-eight thousand, two hundred eighty-eight".