109893201600 has 1008 divisors, whose sum is σ = 456832094208. Its totient is φ = 22922403840.

The previous prime is 109893201581. The next prime is 109893201637. The reversal of 109893201600 is 6102398901.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 388315059 + ... + 388315341.

Almost surely, 2^109893201600 is an apocalyptic number.

109893201600 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 109893201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228416047104).

109893201600 is an abundant number, since it is smaller than the sum of its proper divisors (346938892608).

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

109893201600 is a wasteful number, since it uses less digits than its factorization.

109893201600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The spelling of 109893201600 in words is "one hundred nine billion, eight hundred ninety-three million, two hundred one thousand, six hundred".