102424454400 has 216 divisors, whose sum is σ = 343071451744. Its totient is φ = 26905190400.

The previous prime is 102424454387. The next prime is 102424454471. The reversal of 102424454400 is 4454424201.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1246590 + ... + 1326210.

Almost surely, 2^102424454400 is an apocalyptic number.

102424454400 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 102424454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171535725872).

102424454400 is an abundant number, since it is smaller than the sum of its proper divisors (240646997344).

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

102424454400 is an equidigital number, since it uses as much as digits as its factorization.

102424454400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79717 (or 79698 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 30.

Adding to 102424454400 its reverse (4454424201), we get a palindrome (106878878601).

The spelling of 102424454400 in words is "one hundred two billion, four hundred twenty-four million, four hundred fifty-four thousand, four hundred".