1090792248100 has 81 divisors (see below), whose sum is σ = 2402460245073. Its totient is φ = 429879156000.

The previous prime is 1090792248097. The next prime is 1090792248131. The reversal of 1090792248100 is 18422970901.

It is a happy number.

The square root of 1090792248100 is 1044410.

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

It can be written as a sum of positive squares in only one way, i.e., 392685209316 + 698107038784 = 626646^2 + 835528^2 .

It is a super-2 number, since 2×1090792248100² (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, 741530365 + ... + 741531835.

Almost surely, 2^{1090792248100} is an apocalyptic number.

1090792248100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1090792248100 is the 1044410-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1090792248100

1090792248100 is an abundant number, since it is smaller than the sum of its proper divisors (1311667996973).

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

1090792248100 is an frugal number, since it uses more digits than its factorization.

1090792248100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3098 (or 1549 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 43.

The spelling of 1090792248100 in words is "one trillion, ninety billion, seven hundred ninety-two million, two hundred forty-eight thousand, one hundred".