109051800 has 384 divisors, whose sum is σ = 419973120. Its totient is φ = 23040000.

The previous prime is 109051783. The next prime is 109051807. The reversal of 109051800 is 8150901.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109051807) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2659780 + ... + 2659820.

It is an arithmetic number, because the mean of its divisors is an integer number (1093680).

Almost surely, 2^109051800 is an apocalyptic number.

109051800 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 109051800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209986560).

109051800 is an abundant number, since it is smaller than the sum of its proper divisors (310921320).

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

109051800 is a wasteful number, since it uses less digits than its factorization.

109051800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 24.

The square root of 109051800 is about 10442.7869843256. The cubic root of 109051800 is about 477.7612761963.

The spelling of 109051800 in words is "one hundred nine million, fifty-one thousand, eight hundred".