102729249 has 32 divisors (see below), whose sum is σ = 184170240. Its totient is φ = 55247616.

The previous prime is 102729227. The next prime is 102729251. The reversal of 102729249 is 942927201.

It is not a de Polignac number, because 102729249 - 2⁹ = 102728737 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102729299) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12774 + ... + 19199.

It is an arithmetic number, because the mean of its divisors is an integer number (5755320).

Almost surely, 2^102729249 is an apocalyptic number.

It is an amenable number.

102729249 is a deficient number, since it is larger than the sum of its proper divisors (81440991).

102729249 is a wasteful number, since it uses less digits than its factorization.

102729249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32006 (or 32000 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 102729249 is about 10135.5438433268. The cubic root of 102729249 is about 468.3437234925.

It can be divided in two parts, 1027 and 29249, that added together give a square (30276 = 174²).

The spelling of 102729249 in words is "one hundred two million, seven hundred twenty-nine thousand, two hundred forty-nine".