105086960 has 40 divisors (see below), whose sum is σ = 266540976. Its totient is φ = 38213120.

The previous prime is 105086953. The next prime is 105086999. The reversal of 105086960 is 69680501.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×105086960² = 22086538324083200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105086960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58829 + ... + 60588.

Almost surely, 2^105086960 is an apocalyptic number.

105086960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105086960 is an abundant number, since it is smaller than the sum of its proper divisors (161454016).

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

105086960 is a wasteful number, since it uses less digits than its factorization.

105086960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119441 (or 119435 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The square root of 105086960 is about 10251.1931012931. The cubic root of 105086960 is about 471.8996004016.

The spelling of 105086960 in words is "one hundred five million, eighty-six thousand, nine hundred sixty".