103600141344 has 192 divisors, whose sum is σ = 351850625280. Its totient is φ = 29041459200.

The previous prime is 103600141331. The next prime is 103600141427. The reversal of 103600141344 is 443141006301.

103600141344 is a `hidden beast` number, since 1 + 0 + 3 + 600 + 1 + 4 + 13 + 44 = 666.

It is a super-3 number, since 3×103600141344³ (a number of 34 digits) contains 333 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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 158944 + ... + 482144.

It is an arithmetic number, because the mean of its divisors is an integer number (1832555340).

Almost surely, 2^103600141344 is an apocalyptic number.

103600141344 is a gapful number since it is divisible by the number (14) 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 103600141344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175925312640).

103600141344 is an abundant number, since it is smaller than the sum of its proper divisors (248250483936).

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

103600141344 is a wasteful number, since it uses less digits than its factorization.

103600141344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323280 (or 323266 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 103600141344 its reverse (443141006301), we get a palindrome (546741147645).

The spelling of 103600141344 in words is "one hundred three billion, six hundred million, one hundred forty-one thousand, three hundred forty-four".