56105541 has 24 divisors (see below), whose sum is σ = 84404320. Its totient is φ = 37243152.

The previous prime is 56105531. The next prime is 56105551. The reversal of 56105541 is 14550165.

It is a happy number.

56105541 is a `hidden beast` number, since 5 + 610 + 5 + 5 + 41 = 666.

It is an interprime number because it is at equal distance from previous prime (56105531) and next prime (56105551).

It is not a de Polignac number, because 56105541 - 2¹⁵ = 56072773 is a prime.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56105501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90330 + ... + 90948.

Almost surely, 2^56105541 is an apocalyptic number.

It is an amenable number.

56105541 is a deficient number, since it is larger than the sum of its proper divisors (28298779).

56105541 is an equidigital number, since it uses as much as digits as its factorization.

56105541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 56105541 is about 7490.3632088170. The cubic root of 56105541 is about 382.8264341373.

The spelling of 56105541 in words is "fifty-six million, one hundred five thousand, five hundred forty-one".