102071424 has 256 divisors, whose sum is σ = 350945280. Its totient is φ = 25546752.

The previous prime is 102071423. The next prime is 102071429. The reversal of 102071424 is 424170201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 102071424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102071423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 803649 + ... + 803775.

It is an arithmetic number, because the mean of its divisors is an integer number (1370880).

Almost surely, 2^102071424 is an apocalyptic number.

102071424 is a gapful number since it is divisible by the number (14) 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 102071424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175472640).

102071424 is an abundant number, since it is smaller than the sum of its proper divisors (248873856).

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

102071424 is a wasteful number, since it uses less digits than its factorization.

102071424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 102071424 is about 10103.0403344736. The cubic root of 102071424 is about 467.3419050395.

The spelling of 102071424 in words is "one hundred two million, seventy-one thousand, four hundred twenty-four".