109853100 has 324 divisors, whose sum is σ = 416785824. Its totient is φ = 24111360.

The previous prime is 109853069. The next prime is 109853113. The reversal of 109853100 is 1358901.

It is a super-2 number, since 2×109853100² = 24135407159220000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2072674 + ... + 2072726.

It is an arithmetic number, because the mean of its divisors is an integer number (1286376).

Almost surely, 2^109853100 is an apocalyptic number.

109853100 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 109853100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208392912).

109853100 is an abundant number, since it is smaller than the sum of its proper divisors (306932724).

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

109853100 is a wasteful number, since it uses less digits than its factorization.

109853100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 109853100 is about 10481.0829593129. The cubic root of 109853100 is about 478.9285999081.

The spelling of 109853100 in words is "one hundred nine million, eight hundred fifty-three thousand, one hundred".