103110110400 has 336 divisors, whose sum is σ = 370045244160. Its totient is φ = 24928358400.

The previous prime is 103110110359. The next prime is 103110110401. The reversal of 103110110400 is 4011011301.

It is a super-3 number, since 3×103110110400³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (103110110401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20959141 + ... + 20964059.

Almost surely, 2^103110110400 is an apocalyptic number.

103110110400 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 103110110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185022622080).

103110110400 is an abundant number, since it is smaller than the sum of its proper divisors (266935133760).

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

103110110400 is a wasteful number, since it uses less digits than its factorization.

103110110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5352 (or 5337 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 103110110400 its reverse (4011011301), we get a palindrome (107121121701).

Subtracting from 103110110400 its reverse (4011011301), we obtain a palindrome (99099099099).

The spelling of 103110110400 in words is "one hundred three billion, one hundred ten million, one hundred ten thousand, four hundred".