92009100900 has 144 divisors (see below), whose sum is σ = 268245581184. Its totient is φ = 24348933120.

The previous prime is 92009100871. The next prime is 92009100917. The reversal of 92009100900 is 900190029.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42734224 + ... + 42736376.

It is an arithmetic number, because the mean of its divisors is an integer number (1862816536).

Almost surely, 2^92009100900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 92009100900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134122790592).

92009100900 is an abundant number, since it is smaller than the sum of its proper divisors (176236480284).

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

92009100900 is a wasteful number, since it uses less digits than its factorization.

92009100900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3190 (or 3183 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 30.

Adding to 92009100900 its reverse (900190029), we get a palindrome (92909290929).

The spelling of 92009100900 in words is "ninety-two billion, nine million, one hundred thousand, nine hundred".