1092401100 has 432 divisors, whose sum is σ = 4274726400. Its totient is φ = 238170240.

The previous prime is 1092401047. The next prime is 1092401129. The reversal of 1092401100 is 11042901.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3042721 + ... + 3043079.

It is an arithmetic number, because the mean of its divisors is an integer number (9895200).

Almost surely, 2^1092401100 is an apocalyptic number.

1092401100 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 1092401100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2137363200).

1092401100 is an abundant number, since it is smaller than the sum of its proper divisors (3182325300).

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

1092401100 is a wasteful number, since it uses less digits than its factorization.

1092401100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 1092401100 is about 33051.4916456126. The cubic root of 1092401100 is about 1029.8975924829.

The spelling of 1092401100 in words is "one billion, ninety-two million, four hundred one thousand, one hundred".