102039840 has 288 divisors, whose sum is σ = 407586816. Its totient is φ = 22763520.

The previous prime is 102039767. The next prime is 102039853. The reversal of 102039840 is 48930201.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 534145 + ... + 534335.

It is an arithmetic number, because the mean of its divisors is an integer number (1415232).

Almost surely, 2^102039840 is an apocalyptic number.

102039840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102039840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203793408).

102039840 is an abundant number, since it is smaller than the sum of its proper divisors (305546976).

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

102039840 is a wasteful number, since it uses less digits than its factorization.

102039840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 102039840 is about 10101.4771197088. The cubic root of 102039840 is about 467.2936968049.

The spelling of 102039840 in words is "one hundred two million, thirty-nine thousand, eight hundred forty".