109379629800 has 480 divisors, whose sum is σ = 442377936000. Its totient is φ = 24527992320.

The previous prime is 109379629741. The next prime is 109379629811. The reversal of 109379629800 is 8926973901.

109379629800 is a `hidden beast` number, since 1 + 0 + 9 + 3 + 7 + 9 + 629 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6001101 + ... + 6019299.

It is an arithmetic number, because the mean of its divisors is an integer number (921620700).

Almost surely, 2^109379629800 is an apocalyptic number.

109379629800 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 109379629800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221188968000).

109379629800 is an abundant number, since it is smaller than the sum of its proper divisors (332998306200).

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

109379629800 is a wasteful number, since it uses less digits than its factorization.

109379629800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18287 (or 18269 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 109379629800 in words is "one hundred nine billion, three hundred seventy-nine million, six hundred twenty-nine thousand, eight hundred".