103401442320 has 160 divisors (see below), whose sum is σ = 349868142720. Its totient is φ = 25053880320.

The previous prime is 103401442267. The next prime is 103401442337. The reversal of 103401442320 is 23244104301.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5611362 + ... + 5629758.

It is an arithmetic number, because the mean of its divisors is an integer number (2186675892).

Almost surely, 2^103401442320 is an apocalyptic number.

103401442320 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 103401442320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174934071360).

103401442320 is an abundant number, since it is smaller than the sum of its proper divisors (246466700400).

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

103401442320 is a wasteful number, since it uses less digits than its factorization.

103401442320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20553 (or 20547 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 103401442320 its reverse (23244104301), we get a palindrome (126645546621).

It can be divided in two parts, 10340 and 1442320, that added together give a triangular number (1452660 = T₁₇₀₄).

The spelling of 103401442320 in words is "one hundred three billion, four hundred one million, four hundred forty-two thousand, three hundred twenty".