105120128 has 32 divisors (see below), whose sum is σ = 216648000. Its totient is φ = 50745856.

The previous prime is 105120121. The next prime is 105120131. The reversal of 105120128 is 821021501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×105120128² = 22100482621472768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105120121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10448 + ... + 17871.

It is an arithmetic number, because the mean of its divisors is an integer number (6770250).

Almost surely, 2^105120128 is an apocalyptic number.

It is an amenable number.

105120128 is an abundant number, since it is smaller than the sum of its proper divisors (111527872).

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

105120128 is an equidigital number, since it uses as much as digits as its factorization.

105120128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28362 (or 28350 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 20.

The square root of 105120128 is about 10252.8107365737. The cubic root of 105120128 is about 471.9492428423.

Adding to 105120128 its reverse (821021501), we get a palindrome (926141629).

It can be divided in two parts, 1051201 and 28, that multiplied together give a triangular number (29433628 = T₇₆₇₂).

The spelling of 105120128 in words is "one hundred five million, one hundred twenty thousand, one hundred twenty-eight".