102729354 has 96 divisors (see below), whose sum is σ = 261201024. Its totient is φ = 26357760.

The previous prime is 102729337. The next prime is 102729379. The reversal of 102729354 is 453927201.

102729354 = T₃₃₅ + T₃₃₆ + ... + T₈₆₇.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 290842 + ... + 291194.

It is an arithmetic number, because the mean of its divisors is an integer number (2720844).

Almost surely, 2^102729354 is an apocalyptic number.

102729354 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102729354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130600512).

102729354 is an abundant number, since it is smaller than the sum of its proper divisors (158471670).

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

102729354 is a wasteful number, since it uses less digits than its factorization.

102729354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 102729354 is about 10135.5490231166. The cubic root of 102729354 is about 468.3438830578.

It can be divided in two parts, 1027 and 29354, that added together give a triangular number (30381 = T₂₄₆).

The spelling of 102729354 in words is "one hundred two million, seven hundred twenty-nine thousand, three hundred fifty-four".