102411054400 has 168 divisors, whose sum is σ = 264015094016. Its totient is φ = 39050035200.

The previous prime is 102411054379. The next prime is 102411054409. The reversal of 102411054400 is 4450114201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102411054409) by changing a digit.

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, 3307792 + ... + 3338608.

Almost surely, 2^102411054400 is an apocalyptic number.

102411054400 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 102411054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132007547008).

102411054400 is an abundant number, since it is smaller than the sum of its proper divisors (161604039616).

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

102411054400 is a wasteful number, since it uses less digits than its factorization.

102411054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30937 (or 30922 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

Adding to 102411054400 its reverse (4450114201), we get a palindrome (106861168601).

The spelling of 102411054400 in words is "one hundred two billion, four hundred eleven million, fifty-four thousand, four hundred".