109439961600 has 960 divisors, whose sum is σ = 412315681536. Its totient is φ = 25433210880.

The previous prime is 109439961599. The next prime is 109439961607. The reversal of 109439961600 is 6169934901.

It is a tau number, because it is divible by the number of its divisors (960).

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 109439961600.

It is not an unprimeable number, because it can be changed into a prime (109439961607) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 555532702 + ... + 555532898.

Almost surely, 2^109439961600 is an apocalyptic number.

109439961600 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 109439961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206157840768).

109439961600 is an abundant number, since it is smaller than the sum of its proper divisors (302875719936).

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

109439961600 is a wasteful number, since it uses less digits than its factorization.

109439961600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 48.

The spelling of 109439961600 in words is "one hundred nine billion, four hundred thirty-nine million, nine hundred sixty-one thousand, six hundred".