109397164800 has 1458 divisors, whose sum is σ = 476999946612. Its totient is φ = 21998592000.

The previous prime is 109397164777. The next prime is 109397164817. The reversal of 109397164800 is 8461793901.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 109397164800.

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 161 ways as a sum of consecutive naturals, for example, 3528940785 + ... + 3528940815.

Almost surely, 2^109397164800 is an apocalyptic number.

109397164800 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 109397164800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238499973306).

109397164800 is an abundant number, since it is smaller than the sum of its proper divisors (367602781812).

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

109397164800 is a wasteful number, since it uses less digits than its factorization.

109397164800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

Multiplying 109397164800 by its sum of digits (48), we get a square (5251063910400 = 2291520²).

109397164800 divided by its sum of digits (48) gives a square (2279107600 = 47740²).

The spelling of 109397164800 in words is "one hundred nine billion, three hundred ninety-seven million, one hundred sixty-four thousand, eight hundred".