54105948 has 96 divisors (see below), whose sum is σ = 153115200. Its totient is φ = 16422912.

The previous prime is 54105929. The next prime is 54105949. The reversal of 54105948 is 84950145.

54105948 is a `hidden beast` number, since 54 + 10 + 594 + 8 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54105949) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124740 + ... + 125172.

It is an arithmetic number, because the mean of its divisors is an integer number (1594950).

Almost surely, 2^54105948 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54105948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76557600).

54105948 is an abundant number, since it is smaller than the sum of its proper divisors (99009252).

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

54105948 is a wasteful number, since it uses less digits than its factorization.

54105948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 54105948 is about 7355.6745441870. The cubic root of 54105948 is about 378.2233499879.

The spelling of 54105948 in words is "fifty-four million, one hundred five thousand, nine hundred forty-eight".