109328918400 has 1536 divisors, whose sum is σ = 467470080000. Its totient is φ = 24723947520.

The previous prime is 109328918383. The next prime is 109328918417. The reversal of 109328918400 is 4819823901.

It is an interprime number because it is at equal distance from previous prime (109328918383) and next prime (109328918417).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1003017546 + ... + 1003017654.

It is an arithmetic number, because the mean of its divisors is an integer number (304342500).

Almost surely, 2^109328918400 is an apocalyptic number.

109328918400 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 109328918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233735040000).

109328918400 is an abundant number, since it is smaller than the sum of its proper divisors (358141161600).

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

109328918400 is a wasteful number, since it uses less digits than its factorization.

109328918400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 109328918400 in words is "one hundred nine billion, three hundred twenty-eight million, nine hundred eighteen thousand, four hundred".