103618678400 has 96 divisors (see below), whose sum is σ = 256373695200. Its totient is φ = 41382190080.

The previous prime is 103618678391. The next prime is 103618678447. The reversal of 103618678400 is 4876816301.

It is a super-3 number, since 3×103618678400³ (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2032421 + ... + 2082779.

It is an arithmetic number, because the mean of its divisors is an integer number (2670559325).

Almost surely, 2^103618678400 is an apocalyptic number.

103618678400 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 103618678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128186847600).

103618678400 is an abundant number, since it is smaller than the sum of its proper divisors (152755016800).

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

103618678400 is an equidigital number, since it uses as much as digits as its factorization.

103618678400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51026 (or 51009 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 44.

The spelling of 103618678400 in words is "one hundred three billion, six hundred eighteen million, six hundred seventy-eight thousand, four hundred".