1105300378640 has 80 divisors (see below), whose sum is σ = 2681964615600. Its totient is φ = 423096877056.

The previous prime is 1105300378639. The next prime is 1105300378691. The reversal of 1105300378640 is 468730035011.

It can be written as a sum of positive squares in 8 ways, for example, as 203263919104 + 902036459536 = 450848^2 + 949756^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1105300378594 and 1105300378603.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1845905 + ... + 2370224.

It is an arithmetic number, because the mean of its divisors is an integer number (33524557695).

Almost surely, 2^{1105300378640} is an apocalyptic number.

1105300378640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1105300378640 is an abundant number, since it is smaller than the sum of its proper divisors (1576664236960).

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

1105300378640 is a wasteful number, since it uses less digits than its factorization.

1105300378640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4216284 (or 4216278 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The spelling of 1105300378640 in words is "one trillion, one hundred five billion, three hundred million, three hundred seventy-eight thousand, six hundred forty".