106328480 has 48 divisors (see below), whose sum is σ = 253467144. Its totient is φ = 42147840.

The previous prime is 106328479. The next prime is 106328513. The reversal of 106328480 is 84823601.

It can be written as a sum of positive squares in 4 ways, for example, as 71707024 + 34621456 = 8468^2 + 5884^2 .

It is a super-2 number, since 2×106328480² = 22611491318220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 15140 + ... + 21020.

Almost surely, 2^106328480 is an apocalyptic number.

106328480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106328480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126733572).

106328480 is an abundant number, since it is smaller than the sum of its proper divisors (147138664).

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

106328480 is a wasteful number, since it uses less digits than its factorization.

106328480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6009 (or 6001 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 106328480 is about 10311.5702005078. The cubic root of 106328480 is about 473.7507041851.

The spelling of 106328480 in words is "one hundred six million, three hundred twenty-eight thousand, four hundred eighty".