106648360 has 128 divisors (see below), whose sum is σ = 299738880. Its totient is φ = 33251328.

The previous prime is 106648357. The next prime is 106648391. The reversal of 106648360 is 63846601.

It is a super-2 number, since 2×106648360² = 22747745381379200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 301944 + ... + 302296.

It is an arithmetic number, because the mean of its divisors is an integer number (2341710).

Almost surely, 2^106648360 is an apocalyptic number.

106648360 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 106648360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149869440).

106648360 is an abundant number, since it is smaller than the sum of its proper divisors (193090520).

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

106648360 is a wasteful number, since it uses less digits than its factorization.

106648360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 106648360 is about 10327.0692841677. The cubic root of 106648360 is about 474.2253078547.

The spelling of 106648360 in words is "one hundred six million, six hundred forty-eight thousand, three hundred sixty".