54064101 has 48 divisors (see below), whose sum is σ = 95121600. Its totient is φ = 26998272.

The previous prime is 54064051. The next prime is 54064103. The reversal of 54064101 is 10146045.

It is not a de Polignac number, because 54064101 - 2¹⁵ = 54031333 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54064103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35565 + ... + 37053.

It is an arithmetic number, because the mean of its divisors is an integer number (1981700).

Almost surely, 2^54064101 is an apocalyptic number.

It is an amenable number.

54064101 is a deficient number, since it is larger than the sum of its proper divisors (41057499).

54064101 is a wasteful number, since it uses less digits than its factorization.

54064101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1538 (or 1531 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 54064101 is about 7352.8294553865. The cubic root of 54064101 is about 378.1258154571.

The spelling of 54064101 in words is "fifty-four million, sixty-four thousand, one hundred one".