106748420 has 72 divisors (see below), whose sum is σ = 241156440. Its totient is φ = 39621120.

The previous prime is 106748419. The next prime is 106748431. The reversal of 106748420 is 24847601.

It can be written as a sum of positive squares in 4 ways, for example, as 287296 + 106461124 = 536^2 + 10318^2 .

It is a super-2 number, since 2×106748420² = 22790450344992800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1593227 + ... + 1593293.

It is an arithmetic number, because the mean of its divisors is an integer number (3349395).

Almost surely, 2^106748420 is an apocalyptic number.

106748420 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 106748420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120578220).

106748420 is an abundant number, since it is smaller than the sum of its proper divisors (134408020).

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

106748420 is a wasteful number, since it uses less digits than its factorization.

106748420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 106748420 is about 10331.9126980439. The cubic root of 106748420 is about 474.3735712759.

The spelling of 106748420 in words is "one hundred six million, seven hundred forty-eight thousand, four hundred twenty".