105512960 has 144 divisors (see below), whose sum is σ = 301988736. Its totient is φ = 34603008.

The previous prime is 105512951. The next prime is 105512977. The reversal of 105512960 is 69215501.

It is a super-2 number, since 2×105512960² = 22265969455923200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4587509 + ... + 4587531.

It is an arithmetic number, because the mean of its divisors is an integer number (2097144).

Almost surely, 2^105512960 is an apocalyptic number.

105512960 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 105512960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150994368).

105512960 is an abundant number, since it is smaller than the sum of its proper divisors (196475776).

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

105512960 is an frugal number, since it uses more digits than its factorization.

105512960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 29.

The square root of 105512960 is about 10271.9501556423. The cubic root of 105512960 is about 472.5364006185.

The spelling of 105512960 in words is "one hundred five million, five hundred twelve thousand, nine hundred sixty".