105556880 has 80 divisors (see below), whose sum is σ = 288356544. Its totient is φ = 35427840.

The previous prime is 105556831. The next prime is 105556883. The reversal of 105556880 is 88655501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×105556880² = 22284509830668800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105556883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6827 + ... + 16053.

Almost surely, 2^105556880 is an apocalyptic number.

105556880 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 105556880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144178272).

105556880 is an abundant number, since it is smaller than the sum of its proper divisors (182799664).

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

105556880 is a wasteful number, since it uses less digits than its factorization.

105556880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9264 (or 9258 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 38.

The square root of 105556880 is about 10274.0877940574. The cubic root of 105556880 is about 472.6019562930.

The spelling of 105556880 in words is "one hundred five million, five hundred fifty-six thousand, eight hundred eighty".