109953000 has 192 divisors, whose sum is σ = 391809600. Its totient is φ = 27734400.

The previous prime is 109952993. The next prime is 109953029. The reversal of 109953000 is 359901.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 170679 + ... + 171321.

It is an arithmetic number, because the mean of its divisors is an integer number (2040675).

Almost surely, 2^109953000 is an apocalyptic number.

109953000 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 109953000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195904800).

109953000 is an abundant number, since it is smaller than the sum of its proper divisors (281856600).

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

109953000 is a wasteful number, since it uses less digits than its factorization.

109953000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 1215, while the sum is 27.

The square root of 109953000 is about 10485.8476052249. The cubic root of 109953000 is about 479.0737345504.

The spelling of 109953000 in words is "one hundred nine million, nine hundred fifty-three thousand".