82100128 has 24 divisors (see below), whose sum is σ = 176329440. Its totient is φ = 37318080.

The previous prime is 82100063. The next prime is 82100149.

82100128 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 82100099 and 82100108.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 116268 + ... + 116971.

It is an arithmetic number, because the mean of its divisors is an integer number (7347060).

Almost surely, 2^82100128 is an apocalyptic number.

82100128 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

82100128 is an abundant number, since it is smaller than the sum of its proper divisors (94229312).

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

82100128 is a wasteful number, since it uses less digits than its factorization.

82100128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233260 (or 233252 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

The square root of 82100128 is about 9060.9120953688. The cubic root of 82100128 is about 434.6249076439.

It can be divided in two parts, 82100 and 128, that added together give a palindrome (82228).

The spelling of 82100128 in words is "eighty-two million, one hundred thousand, one hundred twenty-eight".