102728511 has 24 divisors (see below), whose sum is σ = 158146560. Its totient is φ = 64108176.

The previous prime is 102728489. The next prime is 102728531. The reversal of 102728511 is 115827201.

It is not a de Polignac number, because 102728511 - 2²² = 98534207 is a prime.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102728531) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4450 + ... + 15008.

It is an arithmetic number, because the mean of its divisors is an integer number (6589440).

Almost surely, 2^102728511 is an apocalyptic number.

102728511 is a deficient number, since it is larger than the sum of its proper divisors (55418049).

102728511 is a wasteful number, since it uses less digits than its factorization.

102728511 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10635 (or 10632 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 102728511 is about 10135.5074367295. The cubic root of 102728511 is about 468.3426019732.

The spelling of 102728511 in words is "one hundred two million, seven hundred twenty-eight thousand, five hundred eleven".