103812710400 has 1080 divisors, whose sum is σ = 443691393600. Its totient is φ = 23569367040.

The previous prime is 103812710399. The next prime is 103812710467. The reversal of 103812710400 is 4017218301.

103812710400 is a `hidden beast` number, since 10 + 381 + 271 + 0 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 696729526 + ... + 696729674.

Almost surely, 2^103812710400 is an apocalyptic number.

103812710400 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 103812710400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221845696800).

103812710400 is an abundant number, since it is smaller than the sum of its proper divisors (339878683200).

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

103812710400 is an frugal number, since it uses more digits than its factorization.

103812710400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

Adding to 103812710400 its reverse (4017218301), we get a palindrome (107829928701).

The spelling of 103812710400 in words is "one hundred three billion, eight hundred twelve million, seven hundred ten thousand, four hundred".