102443131104400 has 240 divisors, whose sum is σ = 254452439715840. Its totient is φ = 39594049689600.

The previous prime is 102443131104397. The next prime is 102443131104473. The reversal of 102443131104400 is 4401131344201.

It is a super-2 number, since 2×102443131104400² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37676766241 + ... + 37676768959.

It is an arithmetic number, because the mean of its divisors is an integer number (1060218498816).

Almost surely, 2^{102443131104400} is an apocalyptic number.

102443131104400 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 102443131104400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127226219857920).

102443131104400 is an abundant number, since it is smaller than the sum of its proper divisors (152009308611440).

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

102443131104400 is a wasteful number, since it uses less digits than its factorization.

102443131104400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6354 (or 6343 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 102443131104400 its reverse (4401131344201), we get a palindrome (106844262448601).

The spelling of 102443131104400 in words is "one hundred two trillion, four hundred forty-three billion, one hundred thirty-one million, one hundred four thousand, four hundred".