1054324412100 has 288 divisors, whose sum is σ = 3479777280000. Its totient is φ = 273724214400.

The previous prime is 1054324412077. The next prime is 1054324412129. The reversal of 1054324412100 is 12144234501.

1054324412100 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 3 + 2 + 441 + 210 + 0 = 666.

It is a super-2 number, since 2×1054324412100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24216151 + ... + 24259649.

It is an arithmetic number, because the mean of its divisors is an integer number (12082560000).

Almost surely, 2^{1054324412100} is an apocalyptic number.

1054324412100 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 1054324412100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1739888640000).

1054324412100 is an abundant number, since it is smaller than the sum of its proper divisors (2425452867900).

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

1054324412100 is a wasteful number, since it uses less digits than its factorization.

1054324412100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43760 (or 43747 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 1054324412100 its reverse (12144234501), we get a palindrome (1066468646601).

The spelling of 1054324412100 in words is "one trillion, fifty-four billion, three hundred twenty-four million, four hundred twelve thousand, one hundred".