106302048 has 48 divisors (see below), whose sum is σ = 281272320. Its totient is φ = 35150976.

The previous prime is 106302043. The next prime is 106302059. The reversal of 106302048 is 840203601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×106302048² = 22600250817988608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106302041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7833 + ... + 16551.

It is an arithmetic number, because the mean of its divisors is an integer number (5859840).

Almost surely, 2^106302048 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 106302048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140636160).

106302048 is an abundant number, since it is smaller than the sum of its proper divisors (174970272).

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

106302048 is a wasteful number, since it uses less digits than its factorization.

106302048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8859 (or 8851 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 106302048 is about 10310.2884537728. The cubic root of 106302048 is about 473.7114446616.

Adding to 106302048 its reverse (840203601), we get a palindrome (946505649).

The spelling of 106302048 in words is "one hundred six million, three hundred two thousand, forty-eight".