103114510400 has 168 divisors, whose sum is σ = 282017199744. Its totient is φ = 36788377600.

The previous prime is 103114510379. The next prime is 103114510403. The reversal of 103114510400 is 4015411301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (103114510403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 877529 + ... + 988071.

It is an arithmetic number, because the mean of its divisors is an integer number (1678673808).

Almost surely, 2^103114510400 is an apocalyptic number.

103114510400 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 103114510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141008599872).

103114510400 is an abundant number, since it is smaller than the sum of its proper divisors (178902689344).

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

103114510400 is a wasteful number, since it uses less digits than its factorization.

103114510400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110629 (or 110614 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 103114510400 its reverse (4015411301), we get a palindrome (107129921701).

Subtracting from 103114510400 its reverse (4015411301), we obtain a palindrome (99099099099).

The spelling of 103114510400 in words is "one hundred three billion, one hundred fourteen million, five hundred ten thousand, four hundred".