49279560100 has 81 divisors (see below), whose sum is σ = 108694215651. Its totient is φ = 19393046400.

The previous prime is 49279560061. The next prime is 49279560107. The reversal of 49279560100 is 106597294.

It is a happy number.

The square root of 49279560100 is 221990.

It is a perfect power (a square), and thus also a powerful number.

49279560100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 70123876 + 49209436224 = 8374^2 + 221832^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (49279560107) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 175371960 + ... + 175372240.

Almost surely, 2^49279560100 is an apocalyptic number.

49279560100 is the 221990-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49279560100

49279560100 is an abundant number, since it is smaller than the sum of its proper divisors (59414655551).

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

49279560100 is an equidigital number, since it uses as much as digits as its factorization.

49279560100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 43.

The spelling of 49279560100 in words is "forty-nine billion, two hundred seventy-nine million, five hundred sixty thousand, one hundred".