109420800 has 216 divisors, whose sum is σ = 372580320. Its totient is φ = 28262400.

The previous prime is 109420781. The next prime is 109420813. The reversal of 109420800 is 8024901.

It is a super-2 number, since 2×109420800² = 23945822945280000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 787131 + ... + 787269.

Almost surely, 2^109420800 is an apocalyptic number.

109420800 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 109420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186290160).

109420800 is an abundant number, since it is smaller than the sum of its proper divisors (263159520).

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

109420800 is a wasteful number, since it uses less digits than its factorization.

109420800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 109420800 is about 10460.4397613102. The cubic root of 109420800 is about 478.2995385670.

The spelling of 109420800 in words is "one hundred nine million, four hundred twenty thousand, eight hundred".