109851290400 has 144 divisors (see below), whose sum is σ = 357750540000. Its totient is φ = 29278556160.

The previous prime is 109851290389. The next prime is 109851290401. The reversal of 109851290400 is 4092158901.

It is not an unprimeable number, because it can be changed into a prime (109851290401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5098851 + ... + 5120349.

It is an arithmetic number, because the mean of its divisors is an integer number (2484378750).

Almost surely, 2^109851290400 is an apocalyptic number.

109851290400 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 109851290400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178875270000).

109851290400 is an abundant number, since it is smaller than the sum of its proper divisors (247899249600).

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

109851290400 is a wasteful number, since it uses less digits than its factorization.

109851290400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23651 (or 23638 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 39.

The spelling of 109851290400 in words is "one hundred nine billion, eight hundred fifty-one million, two hundred ninety thousand, four hundred".