57102084 has 72 divisors (see below), whose sum is σ = 161237440. Its totient is φ = 17565984.

The previous prime is 57102079. The next prime is 57102107. The reversal of 57102084 is 48020175.

57102084 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 10377 + ... + 14895.

Almost surely, 2^57102084 is an apocalyptic number.

57102084 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57102084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80618720).

57102084 is an abundant number, since it is smaller than the sum of its proper divisors (104135356).

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

57102084 is a wasteful number, since it uses less digits than its factorization.

57102084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4551 (or 4537 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 57102084 is about 7556.5920890306. The cubic root of 57102084 is about 385.0797248738.

The spelling of 57102084 in words is "fifty-seven million, one hundred two thousand, eighty-four".