105520128 has 132 divisors (see below), whose sum is σ = 327634632. Its totient is φ = 30105600.

The previous prime is 105520099. The next prime is 105520147. The reversal of 105520128 is 821025501.

It is a super-2 number, since 2×105520128² = 22268994826272768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 105520098 and 105520107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150178 + ... + 150878.

Almost surely, 2^105520128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105520128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163817316).

105520128 is an abundant number, since it is smaller than the sum of its proper divisors (222114504).

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

105520128 is an equidigital number, since it uses as much as digits as its factorization.

105520128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

The square root of 105520128 is about 10272.2990610671. The cubic root of 105520128 is about 472.5471009288.

Adding to 105520128 its reverse (821025501), we get a palindrome (926545629).

The spelling of 105520128 in words is "one hundred five million, five hundred twenty thousand, one hundred twenty-eight".