102728901 has 16 divisors (see below), whose sum is σ = 150055488. Its totient is φ = 61996800.

The previous prime is 102728891. The next prime is 102728929. The reversal of 102728901 is 109827201.

It is not a de Polignac number, because 102728901 - 2⁶ = 102728837 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102728201) 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 15 ways as a sum of consecutive naturals, for example, 1495 + ... + 14411.

It is an arithmetic number, because the mean of its divisors is an integer number (9378468).

Almost surely, 2^102728901 is an apocalyptic number.

102728901 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102728901 is a deficient number, since it is larger than the sum of its proper divisors (47326587).

102728901 is a wasteful number, since it uses less digits than its factorization.

102728901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13172.

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 102728901 is about 10135.5266760046. The cubic root of 102728901 is about 468.3431946466.

The spelling of 102728901 in words is "one hundred two million, seven hundred twenty-eight thousand, nine hundred one".