103059126144 has 256 divisors, whose sum is σ = 329239680000. Its totient is φ = 31548413952.

The previous prime is 103059126083. The next prime is 103059126169. The reversal of 103059126144 is 441621950301.

It is a happy number.

103059126144 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 591 + 2 + 61 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 103059126099 and 103059126108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8934909 + ... + 8946435.

It is an arithmetic number, because the mean of its divisors is an integer number (1286092500).

Almost surely, 2^103059126144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103059126144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164619840000).

103059126144 is an abundant number, since it is smaller than the sum of its proper divisors (226180553856).

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

103059126144 is a wasteful number, since it uses less digits than its factorization.

103059126144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11762 (or 11744 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 103059126144 in words is "one hundred three billion, fifty-nine million, one hundred twenty-six thousand, one hundred forty-four".