1103087997600 has 288 divisors, whose sum is σ = 3619675200960. Its totient is φ = 291778928640.

The previous prime is 1103087997581. The next prime is 1103087997619. The reversal of 1103087997600 is 67997803011.

It is an interprime number because it is at equal distance from previous prime (1103087997581) and next prime (1103087997619).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 193895556 + ... + 193901244.

It is an arithmetic number, because the mean of its divisors is an integer number (12568316670).

Almost surely, 2^{1103087997600} is an apocalyptic number.

1103087997600 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 1103087997600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1809837600480).

1103087997600 is an abundant number, since it is smaller than the sum of its proper divisors (2516587203360).

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

1103087997600 is a wasteful number, since it uses less digits than its factorization.

1103087997600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6352 (or 6339 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 51.

The spelling of 1103087997600 in words is "one trillion, one hundred three billion, eighty-seven million, nine hundred ninety-seven thousand, six hundred".