102107728849 has 27 divisors (see below), whose sum is σ = 119905197321. Its totient is φ = 86698406760.

The previous prime is 102107728729. The next prime is 102107728897. The reversal of 102107728849 is 948827701201.

The square root of 102107728849 is 319543.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 102107728849 - 2⁷ = 102107728721 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (102107725849) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 427228872 + ... + 427229110.

Almost surely, 2^102107728849 is an apocalyptic number.

102107728849 is the 319543-rd square number.

102107728849 is the 159772-nd centered octagonal number.

It is an amenable number.

102107728849 is a deficient number, since it is larger than the sum of its proper divisors (17797468472).

102107728849 is an frugal number, since it uses more digits than its factorization.

102107728849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 49.

Multiplying 102107728849 by its sum of digits (49), we get a square (5003278713601 = 2236801²).

102107728849 divided by its sum of digits (49) gives a square (2083831201 = 45649²).

The spelling of 102107728849 in words is "one hundred two billion, one hundred seven million, seven hundred twenty-eight thousand, eight hundred forty-nine".