106748960 has 24 divisors (see below), whose sum is σ = 252194796. Its totient is φ = 42699520.

The previous prime is 106748951. The next prime is 106749043. The reversal of 106748960 is 69847601.

It can be written as a sum of positive squares in 2 ways, for example, as 93470224 + 13278736 = 9668^2 + 3644^2 .

It is a super-2 number, since 2×106748960² = 22790680922163200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 333431 + ... + 333750.

Almost surely, 2^106748960 is an apocalyptic number.

106748960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106748960 is an abundant number, since it is smaller than the sum of its proper divisors (145445836).

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

106748960 is an equidigital number, since it uses as much as digits as its factorization.

106748960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667196 (or 667188 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 41.

The square root of 106748960 is about 10331.9388306358. The cubic root of 106748960 is about 474.3743711669.

The spelling of 106748960 in words is "one hundred six million, seven hundred forty-eight thousand, nine hundred sixty".