109300633120 has 192 divisors, whose sum is σ = 310676083200. Its totient is φ = 35527016448.

The previous prime is 109300633109. The next prime is 109300633133. The reversal of 109300633120 is 21336003901.

It is a Harshad number since it is a multiple of its sum of digits (28).

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 31 ways as a sum of consecutive naturals, for example, 2892106 + ... + 2929654.

It is an arithmetic number, because the mean of its divisors is an integer number (1618104600).

Almost surely, 2^109300633120 is an apocalyptic number.

109300633120 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 109300633120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155338041600).

109300633120 is an abundant number, since it is smaller than the sum of its proper divisors (201375450080).

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

109300633120 is a wasteful number, since it uses less digits than its factorization.

109300633120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37707 (or 37699 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 28.

The spelling of 109300633120 in words is "one hundred nine billion, three hundred million, six hundred thirty-three thousand, one hundred twenty".