103416544000 has 864 divisors, whose sum is σ = 345444503040. Its totient is φ = 29887488000.

The previous prime is 103416543883. The next prime is 103416544009. The reversal of 103416544000 is 445614301.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 103416544000.

It is not an unprimeable number, because it can be changed into a prime (103416544009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2200351977 + ... + 2200352023.

Almost surely, 2^103416544000 is an apocalyptic number.

103416544000 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 103416544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172722251520).

103416544000 is an abundant number, since it is smaller than the sum of its proper divisors (242027959040).

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

103416544000 is an equidigital number, since it uses as much as digits as its factorization.

103416544000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The spelling of 103416544000 in words is "one hundred three billion, four hundred sixteen million, five hundred forty-four thousand".