106322048 has 64 divisors (see below), whose sum is σ = 244555200. Its totient is φ = 45100032.

The previous prime is 106322011. The next prime is 106322137. The reversal of 106322048 is 840223601.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×106322048² = 22608755781828608, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95318 + ... + 96426.

It is an arithmetic number, because the mean of its divisors is an integer number (3821175).

Almost surely, 2^106322048 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 106322048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122277600).

106322048 is an abundant number, since it is smaller than the sum of its proper divisors (138233152).

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

106322048 is a wasteful number, since it uses less digits than its factorization.

106322048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1237 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 106322048 is about 10311.2583131255. The cubic root of 106322048 is about 473.7411513165.

Adding to 106322048 its reverse (840223601), we get a palindrome (946545649).

The spelling of 106322048 in words is "one hundred six million, three hundred twenty-two thousand, forty-eight".