105557120 has 128 divisors (see below), whose sum is σ = 269671680. Its totient is φ = 39424000.

The previous prime is 105557119. The next prime is 105557167. The reversal of 105557120 is 21755501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×105557120² = 22284611165388800, 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 105557120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1045070 + ... + 1045170.

It is an arithmetic number, because the mean of its divisors is an integer number (2106810).

Almost surely, 2^105557120 is an apocalyptic number.

105557120 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 105557120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134835840).

105557120 is an abundant number, since it is smaller than the sum of its proper divisors (164114560).

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

105557120 is a wasteful number, since it uses less digits than its factorization.

105557120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 1750, while the sum is 26.

The square root of 105557120 is about 10274.0994739198. The cubic root of 105557120 is about 472.6023144708.

The spelling of 105557120 in words is "one hundred five million, five hundred fifty-seven thousand, one hundred twenty".