102024342420 has 768 divisors, whose sum is σ = 406902472704. Its totient is φ = 18413568000.

The previous prime is 102024342403. The next prime is 102024342577. The reversal of 102024342420 is 24243420201.

It is a super-2 number, since 2×102024342420² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 68888080 + ... + 68889560.

It is an arithmetic number, because the mean of its divisors is an integer number (529820928).

Almost surely, 2^102024342420 is an apocalyptic number.

102024342420 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 102024342420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203451236352).

102024342420 is an abundant number, since it is smaller than the sum of its proper divisors (304878130284).

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

102024342420 is a wasteful number, since it uses less digits than its factorization.

102024342420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1592 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 102024342420 its reverse (24243420201), we get a palindrome (126267762621).

It can be divided in two parts, 102024 and 342420, that added together give a palindrome (444444).

The spelling of 102024342420 in words is "one hundred two billion, twenty-four million, three hundred forty-two thousand, four hundred twenty".