110104342010400 has 576 divisors, whose sum is σ = 377673157370880. Its totient is φ = 27807913267200.

The previous prime is 110104342010329. The next prime is 110104342010419. The reversal of 110104342010400 is 4010243401011.

It is a super-2 number, since 2×110104342010400² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2420331655 + ... + 2420377145.

It is an arithmetic number, because the mean of its divisors is an integer number (655682564880).

Almost surely, 2^{110104342010400} is an apocalyptic number.

110104342010400 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 110104342010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188836578685440).

110104342010400 is an abundant number, since it is smaller than the sum of its proper divisors (267568815360480).

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

110104342010400 is a wasteful number, since it uses less digits than its factorization.

110104342010400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45969 (or 45956 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 110104342010400 its reverse (4010243401011), we get a palindrome (114114585411411).

The spelling of 110104342010400 in words is "one hundred ten trillion, one hundred four billion, three hundred forty-two million, ten thousand, four hundred".