103105094400 has 2268 divisors, whose sum is σ = 497402711064. Its totient is φ = 20901888000.

The previous prime is 103105094387. The next prime is 103105094431. The reversal of 103105094400 is 4490501301.

103105094400 is a `hidden beast` number, since 103 + 10 + 509 + 4 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2268).

It is a super-2 number, since 2×103105094400² (a number of 23 digits) contains 22 as substring.

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

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 251 ways as a sum of consecutive naturals, for example, 2514758380 + ... + 2514758420.

Almost surely, 2^103105094400 is an apocalyptic number.

103105094400 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 103105094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248701355532).

103105094400 is an abundant number, since it is smaller than the sum of its proper divisors (394297616664).

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

103105094400 is an equidigital number, since it uses as much as digits as its factorization.

103105094400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 103105094400 its reverse (4490501301), we get a palindrome (107595595701).

The spelling of 103105094400 in words is "one hundred three billion, one hundred five million, ninety-four thousand, four hundred".