102129984 has 196 divisors, whose sum is σ = 333146400. Its totient is φ = 30792960.

The previous prime is 102129983. The next prime is 102129991. The reversal of 102129984 is 489921201.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102129983) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 513117 + ... + 513315.

Almost surely, 2^102129984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102129984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166573200).

102129984 is an abundant number, since it is smaller than the sum of its proper divisors (231016416).

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

102129984 is an equidigital number, since it uses as much as digits as its factorization.

102129984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 102129984 is about 10105.9380564102. The cubic root of 102129984 is about 467.4312617821.

The spelling of 102129984 in words is "one hundred two million, one hundred twenty-nine thousand, nine hundred eighty-four".