102424400320 has 224 divisors, whose sum is σ = 273775749120. Its totient is φ = 36178698240.

The previous prime is 102424400297. The next prime is 102424400371. The reversal of 102424400320 is 23004424201.

It is a happy number.

It is a super-2 number, since 2×102424400320² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 102424400291 and 102424400300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22663021 + ... + 22667539.

Almost surely, 2^102424400320 is an apocalyptic number.

102424400320 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 102424400320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136887874560).

102424400320 is an abundant number, since it is smaller than the sum of its proper divisors (171351348800).

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

102424400320 is a wasteful number, since it uses less digits than its factorization.

102424400320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4731 (or 4721 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 102424400320 its reverse (23004424201), we get a palindrome (125428824521).

The spelling of 102424400320 in words is "one hundred two billion, four hundred twenty-four million, four hundred thousand, three hundred twenty".