106128960 has 224 divisors, whose sum is σ = 408188160. Its totient is φ = 22806528.

The previous prime is 106128941. The next prime is 106128973. The reversal of 106128960 is 69821601.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×106128960² = 22526712301363200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113776 + ... + 114704.

Almost surely, 2^106128960 is an apocalyptic number.

106128960 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 106128960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204094080).

106128960 is an abundant number, since it is smaller than the sum of its proper divisors (302059200).

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

106128960 is a wasteful number, since it uses less digits than its factorization.

106128960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 106128960 is about 10301.8910885332. The cubic root of 106128960 is about 473.4541955903.

The spelling of 106128960 in words is "one hundred six million, one hundred twenty-eight thousand, nine hundred sixty".