109973270400 has 384 divisors, whose sum is σ = 415040578560. Its totient is φ = 25071820800.

The previous prime is 109973270383. The next prime is 109973270423. The reversal of 109973270400 is 4072379901.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28961302 + ... + 28965098.

It is an arithmetic number, because the mean of its divisors is an integer number (1080834840).

Almost surely, 2^109973270400 is an apocalyptic number.

109973270400 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 109973270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207520289280).

109973270400 is an abundant number, since it is smaller than the sum of its proper divisors (305067308160).

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

109973270400 is a wasteful number, since it uses less digits than its factorization.

109973270400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4262 (or 4245 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 42.

The spelling of 109973270400 in words is "one hundred nine billion, nine hundred seventy-three million, two hundred seventy thousand, four hundred".