57416106 has 64 divisors (see below), whose sum is σ = 134649216. Its totient is φ = 16128000.

The previous prime is 57416101. The next prime is 57416111. The reversal of 57416106 is 60161475.

57416106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (57416101) and next prime (57416111).

It is not an unprimeable number, because it can be changed into a prime (57416101) 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 31 ways as a sum of consecutive naturals, for example, 81556 + ... + 82256.

It is an arithmetic number, because the mean of its divisors is an integer number (2103894).

Almost surely, 2^57416106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57416106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67324608).

57416106 is an abundant number, since it is smaller than the sum of its proper divisors (77233110).

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

57416106 is a wasteful number, since it uses less digits than its factorization.

57416106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807.

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 57416106 is about 7577.3416182722. The cubic root of 57416106 is about 385.7843256310.

The spelling of 57416106 in words is "fifty-seven million, four hundred sixteen thousand, one hundred six".