102384540 has 192 divisors, whose sum is σ = 355622400. Its totient is φ = 24302592.

The previous prime is 102384539. The next prime is 102384547. The reversal of 102384540 is 45483201.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102384547) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 174127 + ... + 174713.

It is an arithmetic number, because the mean of its divisors is an integer number (1852200).

Almost surely, 2^102384540 is an apocalyptic number.

102384540 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 102384540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177811200).

102384540 is an abundant number, since it is smaller than the sum of its proper divisors (253237860).

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

102384540 is a wasteful number, since it uses less digits than its factorization.

102384540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 102384540 is about 10118.5245960071. The cubic root of 102384540 is about 467.8192924946.

The spelling of 102384540 in words is "one hundred two million, three hundred eighty-four thousand, five hundred forty".