102345984 has 288 divisors, whose sum is σ = 350259840. Its totient is φ = 29196288.

The previous prime is 102345979. The next prime is 102346007. The reversal of 102345984 is 489543201.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1527519 + ... + 1527585.

It is an arithmetic number, because the mean of its divisors is an integer number (1216180).

Almost surely, 2^102345984 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 102345984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175129920).

102345984 is an abundant number, since it is smaller than the sum of its proper divisors (247913856).

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

102345984 is a wasteful number, since it uses less digits than its factorization.

102345984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 102345984 is about 10116.6191981314. The cubic root of 102345984 is about 467.7605612797.

The spelling of 102345984 in words is "one hundred two million, three hundred forty-five thousand, nine hundred eighty-four".