493105100 has 72 divisors (see below), whose sum is σ = 1137166800. Its totient is φ = 185068800.

The previous prime is 493105099. The next prime is 493105103. The reversal of 493105100 is 1501394.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (493105103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 205910 + ... + 208290.

Almost surely, 2^493105100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 493105100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568583400).

493105100 is an abundant number, since it is smaller than the sum of its proper divisors (644061700).

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

493105100 is a wasteful number, since it uses less digits than its factorization.

493105100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2523 (or 2516 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 493105100 is about 22205.9699180198. The cubic root of 493105100 is about 790.0353025938.

Adding to 493105100 its reverse (1501394), we get a palindrome (494606494).

The spelling of 493105100 in words is "four hundred ninety-three million, one hundred five thousand, one hundred".