54364100 has 72 divisors (see below), whose sum is σ = 138532800. Its totient is φ = 18126720.

The previous prime is 54364097. The next prime is 54364103. The reversal of 54364100 is 146345.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (54364097) and next prime (54364103).

It is not an unprimeable number, because it can be changed into a prime (54364103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24851 + ... + 26949.

Almost surely, 2^54364100 is an apocalyptic number.

54364100 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 54364100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69266400).

54364100 is an abundant number, since it is smaller than the sum of its proper divisors (84168700).

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

54364100 is a wasteful number, since it uses less digits than its factorization.

54364100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2157 (or 2150 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 54364100 is about 7373.2014756142. The cubic root of 54364100 is about 378.8239262147.

The spelling of 54364100 in words is "fifty-four million, three hundred sixty-four thousand, one hundred".