102002420 has 48 divisors (see below), whose sum is σ = 232318800. Its totient is φ = 37395456.

The previous prime is 102002419. The next prime is 102002441. The reversal of 102002420 is 24200201.

It can be written as a sum of positive squares in 8 ways, for example, as 39212644 + 62789776 = 6262^2 + 7924^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37424 + ... + 40056.

It is an arithmetic number, because the mean of its divisors is an integer number (4839975).

Almost surely, 2^102002420 is an apocalyptic number.

102002420 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 102002420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116159400).

102002420 is an abundant number, since it is smaller than the sum of its proper divisors (130316380).

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

102002420 is a wasteful number, since it uses less digits than its factorization.

102002420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2804 (or 2802 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 102002420 is about 10099.6247455042. The cubic root of 102002420 is about 467.2365679160.

Adding to 102002420 its reverse (24200201), we get a palindrome (126202621).

The spelling of 102002420 in words is "one hundred two million, two thousand, four hundred twenty".