54368100 has 108 divisors (see below), whose sum is σ = 171844036. Its totient is φ = 14376960.

The previous prime is 54368099. The next prime is 54368147. The reversal of 54368100 is 186345.

It can be written as a sum of positive squares in 6 ways, for example, as 18870336 + 35497764 = 4344^2 + 5958^2 .

It is a super-2 number, since 2×54368100² = 5911780595220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 173544 + ... + 173856.

Almost surely, 2^54368100 is an apocalyptic number.

54368100 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 54368100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85922018).

54368100 is an abundant number, since it is smaller than the sum of its proper divisors (117475936).

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

54368100 is a wasteful number, since it uses less digits than its factorization.

54368100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 54368100 is about 7373.4727232153. The cubic root of 54368100 is about 378.8332170184.

The spelling of 54368100 in words is "fifty-four million, three hundred sixty-eight thousand, one hundred".