110345202540320 has 192 divisors, whose sum is σ = 292299584605056. Its totient is φ = 39011153633280.

The previous prime is 110345202540289. The next prime is 110345202540359. The reversal of 110345202540320 is 23045202543011.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84463604 + ... + 85760076.

It is an arithmetic number, because the mean of its divisors is an integer number (1522393669818).

Almost surely, 2^{110345202540320} is an apocalyptic number.

110345202540320 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 110345202540320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146149792302528).

110345202540320 is an abundant number, since it is smaller than the sum of its proper divisors (181954382064736).

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

110345202540320 is a wasteful number, since it uses less digits than its factorization.

110345202540320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1297843 (or 1297835 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The spelling of 110345202540320 in words is "one hundred ten trillion, three hundred forty-five billion, two hundred two million, five hundred forty thousand, three hundred twenty".