106456328 has 64 divisors (see below), whose sum is σ = 229392000. Its totient is φ = 45844480.

The previous prime is 106456327. The next prime is 106456331. The reversal of 106456328 is 823654601.

It is a super-2 number, since 2×106456328² = 22665899542487168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106456327) 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, 301400 + ... + 301752.

It is an arithmetic number, because the mean of its divisors is an integer number (3584250).

Almost surely, 2^106456328 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 106456328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114696000).

106456328 is an abundant number, since it is smaller than the sum of its proper divisors (122935672).

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

106456328 is a wasteful number, since it uses less digits than its factorization.

106456328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 106456328 is about 10317.7675880008. The cubic root of 106456328 is about 473.9405053898.

The spelling of 106456328 in words is "one hundred six million, four hundred fifty-six thousand, three hundred twenty-eight".