103551780541440 has 2816 divisors, whose sum is σ = 445954082734080. Its totient is φ = 19851777146880.

The previous prime is 103551780541427. The next prime is 103551780541463. The reversal of 103551780541440 is 44145087155301.

It is a tau number, because it is divible by the number of its divisors (2816).

It is a super-3 number, since 3×103551780541440³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 103551780541440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 273223695171 + ... + 273223695549.

Almost surely, 2^{103551780541440} is an apocalyptic number.

103551780541440 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 103551780541440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222977041367040).

103551780541440 is an abundant number, since it is smaller than the sum of its proper divisors (342402302192640).

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

103551780541440 is a wasteful number, since it uses less digits than its factorization.

103551780541440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 48.

The spelling of 103551780541440 in words is "one hundred three trillion, five hundred fifty-one billion, seven hundred eighty million, five hundred forty-one thousand, four hundred forty".