105480880 has 40 divisors (see below), whose sum is σ = 246305664. Its totient is φ = 42009600.

The previous prime is 105480877. The next prime is 105480889. The reversal of 105480880 is 88084501.

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

It is a super-2 number, since 2×105480880² = 22252432091148800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105480889) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16545 + ... + 22015.

Almost surely, 2^105480880 is an apocalyptic number.

105480880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105480880 is an abundant number, since it is smaller than the sum of its proper divisors (140824784).

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

105480880 is a wasteful number, since it uses less digits than its factorization.

105480880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5725 (or 5719 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 34.

The square root of 105480880 is about 10270.3885028756. The cubic root of 105480880 is about 472.4885060146.

The spelling of 105480880 in words is "one hundred five million, four hundred eighty thousand, eight hundred eighty".