54106407 has 16 divisors (see below), whose sum is σ = 80955360. Its totient is φ = 35712000.

The previous prime is 54106397. The next prime is 54106411. The reversal of 54106407 is 70460145.

54106407 is a `hidden beast` number, since 5 + 4 + 10 + 640 + 7 = 666.

It is not a de Polignac number, because 54106407 - 2⁷ = 54106279 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54106417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7194 + ... + 12647.

It is an arithmetic number, because the mean of its divisors is an integer number (5059710).

Almost surely, 2^54106407 is an apocalyptic number.

54106407 is a deficient number, since it is larger than the sum of its proper divisors (26848953).

54106407 is a wasteful number, since it uses less digits than its factorization.

54106407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19951 (or 19945 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 54106407 is about 7355.7057445224. The cubic root of 54106407 is about 378.2244195193.

The spelling of 54106407 in words is "fifty-four million, one hundred six thousand, four hundred seven".