109432012800 has 720 divisors, whose sum is σ = 415034373600. Its totient is φ = 25375539200.

The previous prime is 109432012783. The next prime is 109432012817. The reversal of 109432012800 is 8210234901.

It is an interprime number because it is at equal distance from previous prime (109432012783) and next prime (109432012817).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4757913589 + ... + 4757913611.

It is an arithmetic number, because the mean of its divisors is an integer number (576436630).

Almost surely, 2^109432012800 is an apocalyptic number.

109432012800 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 109432012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207517186800).

109432012800 is an abundant number, since it is smaller than the sum of its proper divisors (305602360800).

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

109432012800 is an frugal number, since it uses more digits than its factorization.

109432012800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 109432012800 in words is "one hundred nine billion, four hundred thirty-two million, twelve thousand, eight hundred".