109835232000 has 1152 divisors, whose sum is σ = 431981641728. Its totient is φ = 24477696000.

The previous prime is 109835231993. The next prime is 109835232019. The reversal of 109835232000 is 232538901.

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 127 ways as a sum of consecutive naturals, for example, 657695917 + ... + 657696083.

It is an arithmetic number, because the mean of its divisors is an integer number (374984064).

Almost surely, 2^109835232000 is an apocalyptic number.

109835232000 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 109835232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215990820864).

109835232000 is an abundant number, since it is smaller than the sum of its proper divisors (322146409728).

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

109835232000 is a wasteful number, since it uses less digits than its factorization.

109835232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The spelling of 109835232000 in words is "one hundred nine billion, eight hundred thirty-five million, two hundred thirty-two thousand".