103778357760 has 2560 divisors, whose sum is σ = 515898408960. Its totient is φ = 19110297600.

The previous prime is 103778357759. The next prime is 103778357801. The reversal of 103778357760 is 67753877301.

103778357760 is a `hidden beast` number, since 1 + 0 + 3 + 7 + 7 + 8 + 3 + 577 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 103778357697 and 103778357706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2804820462 + ... + 2804820498.

It is an arithmetic number, because the mean of its divisors is an integer number (201522816).

Almost surely, 2^103778357760 is an apocalyptic number.

103778357760 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 103778357760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257949204480).

103778357760 is an abundant number, since it is smaller than the sum of its proper divisors (412120051200).

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

103778357760 is a wasteful number, since it uses less digits than its factorization.

103778357760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 5186160, while the sum is 54.

The spelling of 103778357760 in words is "one hundred three billion, seven hundred seventy-eight million, three hundred fifty-seven thousand, seven hundred sixty".