128535105 has 32 divisors (see below), whose sum is σ = 213989760. Its totient is φ = 65802240.

The previous prime is 128535101. The next prime is 128535119. The reversal of 128535105 is 501535821.

It is not a de Polignac number, because 128535105 - 2² = 128535101 is a prime.

It is a super-2 number, since 2×128535105² = 33042546434722050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (128535101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83190 + ... + 84720.

It is an arithmetic number, because the mean of its divisors is an integer number (6687180).

Almost surely, 2^128535105 is an apocalyptic number.

128535105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

128535105 is a deficient number, since it is larger than the sum of its proper divisors (85454655).

128535105 is a wasteful number, since it uses less digits than its factorization.

128535105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1761.

The product of its (nonzero) digits is 6000, while the sum is 30.

The square root of 128535105 is about 11337.3323581873. The cubic root of 128535105 is about 504.6697248993.

The spelling of 128535105 in words is "one hundred twenty-eight million, five hundred thirty-five thousand, one hundred five".