103204050143040 has 7056 divisors, whose sum is σ = 509157504253440. Its totient is φ = 19796178124800.

The previous prime is 103204050143021. The next prime is 103204050143063. The reversal of 103204050143040 is 40341050402301.

It is a happy number.

103204050143040 is a `hidden beast` number, since 10 + 32 + 0 + 40 + 501 + 43 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (7056).

It is a super-2 number, since 2×103204050143040² (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 103204050142995 and 103204050143013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1007 ways as a sum of consecutive naturals, for example, 1243422290839 + ... + 1243422290921.

It is an arithmetic number, because the mean of its divisors is an integer number (72159510240).

Almost surely, 2^{103204050143040} is an apocalyptic number.

103204050143040 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 103204050143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254578752126720).

103204050143040 is an abundant number, since it is smaller than the sum of its proper divisors (405953454110400).

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

103204050143040 is a wasteful number, since it uses less digits than its factorization.

103204050143040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 103204050143040 in words is "one hundred three trillion, two hundred four billion, fifty million, one hundred forty-three thousand, forty".