1093921920100 has 144 divisors (see below), whose sum is σ = 2591707245120. Its totient is φ = 399339072000.

The previous prime is 1093921920073. The next prime is 1093921920151. The reversal of 1093921920100 is 10291293901.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 1093921920100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7023267 + ... + 7177333.

It is an arithmetic number, because the mean of its divisors is an integer number (17997966980).

Almost surely, 2^{1093921920100} is an apocalyptic number.

1093921920100 is a gapful number since it is divisible by the number (10) 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 1093921920100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1295853622560).

1093921920100 is an abundant number, since it is smaller than the sum of its proper divisors (1497785325020).

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

1093921920100 is a wasteful number, since it uses less digits than its factorization.

1093921920100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154238 (or 154231 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 37.

The spelling of 1093921920100 in words is "one trillion, ninety-three billion, nine hundred twenty-one million, nine hundred twenty thousand, one hundred".