53164100 has 72 divisors (see below), whose sum is σ = 133303968. Its totient is φ = 18188800.

The previous prime is 53164099. The next prime is 53164103. The reversal of 53164100 is 146135.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (53164103) 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, 17279 + ... + 20121.

It is an arithmetic number, because the mean of its divisors is an integer number (1851444).

Almost surely, 2^53164100 is an apocalyptic number.

53164100 is a gapful number since it is divisible by the number (50) 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 53164100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66651984).

53164100 is an abundant number, since it is smaller than the sum of its proper divisors (80139868).

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

53164100 is a wasteful number, since it uses less digits than its factorization.

53164100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2885 (or 2878 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 53164100 is about 7291.3716130780. The cubic root of 53164100 is about 376.0158530361.

The spelling of 53164100 in words is "fifty-three million, one hundred sixty-four thousand, one hundred".