1054100054124 has 288 divisors, whose sum is σ = 2994324802560. Its totient is φ = 310549676544.

The previous prime is 1054100054113. The next prime is 1054100054131. The reversal of 1054100054124 is 4214500014501.

1054100054124 is a `hidden beast` number, since 10 + 5 + 4 + 100 + 0 + 541 + 2 + 4 = 666.

It is a super-2 number, since 2×1054100054124² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 297850747 + ... + 297854285.

It is an arithmetic number, because the mean of its divisors is an integer number (10396961120).

Almost surely, 2^{1054100054124} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1054100054124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497162401280).

1054100054124 is an abundant number, since it is smaller than the sum of its proper divisors (1940224748436).

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

1054100054124 is a wasteful number, since it uses less digits than its factorization.

1054100054124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3869 (or 3864 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 1054100054124 its reverse (4214500014501), we get a palindrome (5268600068625).

The spelling of 1054100054124 in words is "one trillion, fifty-four billion, one hundred million, fifty-four thousand, one hundred twenty-four".