57106434 has 96 divisors (see below), whose sum is σ = 152143488. Its totient is φ = 13939200.

The previous prime is 57106411. The next prime is 57106453. The reversal of 57106434 is 43460175.

It is a super-2 number, since 2×57106434² = 6522289608392712, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86064 + ... + 86724.

It is an arithmetic number, because the mean of its divisors is an integer number (1584828).

Almost surely, 2^57106434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57106434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76071744).

57106434 is an abundant number, since it is smaller than the sum of its proper divisors (95037054).

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

57106434 is a wasteful number, since it uses less digits than its factorization.

57106434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 57106434 is about 7556.8799117096. The cubic root of 57106434 is about 385.0895030007.

It can be divided in two parts, 57 and 106434, that added together give a triangular number (106491 = T₄₆₁).

The spelling of 57106434 in words is "fifty-seven million, one hundred six thousand, four hundred thirty-four".