54055145100 has 288 divisors, whose sum is σ = 181068410880. Its totient is φ = 12321056000.

The previous prime is 54055145083. The next prime is 54055145101. The reversal of 54055145100 is 154155045.

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

It is not an unprimeable number, because it can be changed into a prime (54055145101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4472065 + ... + 4484135.

It is an arithmetic number, because the mean of its divisors is an integer number (628709760).

Almost surely, 2^54055145100 is an apocalyptic number.

54055145100 is a gapful number since it is divisible by the number (50) 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 54055145100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90534205440).

54055145100 is an abundant number, since it is smaller than the sum of its proper divisors (127013265780).

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

54055145100 is a wasteful number, since it uses less digits than its factorization.

54055145100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12181 (or 12174 counting only the distinct ones).

The product of its (nonzero) digits is 10000, while the sum is 30.

The spelling of 54055145100 in words is "fifty-four billion, fifty-five million, one hundred forty-five thousand, one hundred".