102661728 has 48 divisors (see below), whose sum is σ = 290220336. Its totient is φ = 31587840.

The previous prime is 102661703. The next prime is 102661751. The reversal of 102661728 is 827166201.

It is a tau number, because it is divible by the number of its divisors (48).

It is a zygodrome in base 2.

It is a congruent number.

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, 39883 + ... + 42378.

It is an arithmetic number, because the mean of its divisors is an integer number (6046257).

Almost surely, 2^102661728 is an apocalyptic number.

It is an amenable number.

102661728 is an abundant number, since it is smaller than the sum of its proper divisors (187558608).

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

102661728 is a wasteful number, since it uses less digits than its factorization.

102661728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82287 (or 82279 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 102661728 is about 10132.2123941418. The cubic root of 102661728 is about 468.2410913544.

The spelling of 102661728 in words is "one hundred two million, six hundred sixty-one thousand, seven hundred twenty-eight".