54140100 has 216 divisors, whose sum is σ = 189987840. Its totient is φ = 11854080.

The previous prime is 54140089. The next prime is 54140117. The reversal of 54140100 is 104145.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 54140100.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 426237 + ... + 426363.

Almost surely, 2^54140100 is an apocalyptic number.

54140100 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 54140100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94993920).

54140100 is an abundant number, since it is smaller than the sum of its proper divisors (135847740).

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

54140100 is a wasteful number, since it uses less digits than its factorization.

54140100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 54140100 is about 7357.9956509908. The cubic root of 54140100 is about 378.3029122018.

Adding to 54140100 its reverse (104145), we get a palindrome (54244245).

The spelling of 54140100 in words is "fifty-four million, one hundred forty thousand, one hundred".