54088101 has 16 divisors (see below), whose sum is σ = 84844800. Its totient is φ = 33937344.

The previous prime is 54088091. The next prime is 54088121. The reversal of 54088101 is 10188045.

54088101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 54088101 - 2⁹ = 54087589 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54088121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58461 + ... + 59378.

It is an arithmetic number, because the mean of its divisors is an integer number (5302800).

Almost surely, 2^54088101 is an apocalyptic number.

54088101 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

54088101 is a deficient number, since it is larger than the sum of its proper divisors (30756699).

54088101 is a wasteful number, since it uses less digits than its factorization.

54088101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117865 (or 117859 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 54088101 is about 7354.4612991027. The cubic root of 54088101 is about 378.1817594007.

The spelling of 54088101 in words is "fifty-four million, eighty-eight thousand, one hundred one".