57105480 has 32 divisors (see below), whose sum is σ = 171316800. Its totient is φ = 15228096.

The previous prime is 57105457. The next prime is 57105487. The reversal of 57105480 is 8450175.

57105480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×57105480² = 6522071692060800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (57105487) 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 7 ways as a sum of consecutive naturals, for example, 237820 + ... + 238059.

It is an arithmetic number, because the mean of its divisors is an integer number (5353650).

Almost surely, 2^57105480 is an apocalyptic number.

It is an amenable number.

57105480 is an abundant number, since it is smaller than the sum of its proper divisors (114211320).

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

57105480 is a wasteful number, since it uses less digits than its factorization.

57105480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475893 (or 475889 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 30.

The square root of 57105480 is about 7556.8167901571. The cubic root of 57105480 is about 385.0873585988.

The spelling of 57105480 in words is "fifty-seven million, one hundred five thousand, four hundred eighty".