1049579760100 has 81 divisors (see below), whose sum is σ = 2322573795633. Its totient is φ = 411697453440.

The previous prime is 1049579760083. The next prime is 1049579760161. The reversal of 1049579760100 is 10679759401.

The square root of 1049579760100 is 1024490.

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

It can be written as a sum of positive squares in 13 ways, for example, as 253216278436 + 796363481664 = 503206^2 + 892392^2 .

It is a super-2 number, since 2×1049579760100² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 542978734 + ... + 542980666.

Almost surely, 2^{1049579760100} is an apocalyptic number.

1049579760100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1049579760100 is the 1024490-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1049579760100

1049579760100 is an abundant number, since it is smaller than the sum of its proper divisors (1272994035533).

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

1049579760100 is an frugal number, since it uses more digits than its factorization.

1049579760100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3986 (or 1993 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 49.

Multiplying 1049579760100 by its sum of digits (49), we get a square (51429408244900 = 7171430²).

The spelling of 1049579760100 in words is "one trillion, forty-nine billion, five hundred seventy-nine million, seven hundred sixty thousand, one hundred".