1103107610880 has 1440 divisors, whose sum is σ = 4559245802496. Its totient is φ = 252149760000.

The previous prime is 1103107610873. The next prime is 1103107610893. The reversal of 1103107610880 is 880167013011.

It is a happy number.

1103107610880 is a `hidden beast` number, since 1 + 1 + 0 + 31 + 0 + 7 + 610 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1449549700 + ... + 1449550460.

Almost surely, 2^{1103107610880} is an apocalyptic number.

1103107610880 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 1103107610880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2279622901248).

1103107610880 is an abundant number, since it is smaller than the sum of its proper divisors (3456138191616).

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

1103107610880 is a wasteful number, since it uses less digits than its factorization.

1103107610880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The spelling of 1103107610880 in words is "one trillion, one hundred three billion, one hundred seven million, six hundred ten thousand, eight hundred eighty".