101289128 has 32 divisors (see below), whose sum is σ = 206533800. Its totient is φ = 46374912.

The previous prime is 101289113. The next prime is 101289131. The reversal of 101289128 is 821982101.

It can be written as a sum of positive squares in 4 ways, for example, as 96786244 + 4502884 = 9838^2 + 2122^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101289094 and 101289103.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5033 + ... + 15096.

Almost surely, 2^101289128 is an apocalyptic number.

It is an amenable number.

101289128 is an abundant number, since it is smaller than the sum of its proper divisors (105244672).

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

101289128 is a wasteful number, since it uses less digits than its factorization.

101289128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20189 (or 20185 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 32.

The square root of 101289128 is about 10064.2499968949. The cubic root of 101289128 is about 466.1449075649.

The spelling of 101289128 in words is "one hundred one million, two hundred eighty-nine thousand, one hundred twenty-eight".