102725128 has 24 divisors (see below), whose sum is σ = 211713390. Its totient is φ = 46692800.

The previous prime is 102725123. The next prime is 102725141. The reversal of 102725128 is 821527201.

It can be written as a sum of positive squares in only one way, i.e., 70257924 + 32467204 = 8382^2 + 5698^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102725096 and 102725105.

It is not an unprimeable number, because it can be changed into a prime (102725123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 52093 + ... + 54028.

Almost surely, 2^102725128 is an apocalyptic number.

It is an amenable number.

102725128 is an abundant number, since it is smaller than the sum of its proper divisors (108988262).

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

102725128 is a wasteful number, since it uses less digits than its factorization.

102725128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106149 (or 106134 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 28.

The square root of 102725128 is about 10135.3405468193. The cubic root of 102725128 is about 468.3374608480.

It can be divided in two parts, 10272 and 5128, that added together give a triangular number (15400 = T₁₇₅).

The spelling of 102725128 in words is "one hundred two million, seven hundred twenty-five thousand, one hundred twenty-eight".