1102245240600 has 768 divisors, whose sum is σ = 4625418240000. Its totient is φ = 235648258560.

The previous prime is 1102245240541. The next prime is 1102245240631. The reversal of 1102245240600 is 60425422011.

1102245240600 is a `hidden beast` number, since 1 + 1 + 0 + 2 + 2 + 4 + 52 + 4 + 0 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 56728087 + ... + 56747513.

It is an arithmetic number, because the mean of its divisors is an integer number (6022680000).

Almost surely, 2^{1102245240600} is an apocalyptic number.

1102245240600 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 1102245240600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2312709120000).

1102245240600 is an abundant number, since it is smaller than the sum of its proper divisors (3523172999400).

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

1102245240600 is a wasteful number, since it uses less digits than its factorization.

1102245240600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19557 (or 19542 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 1102245240600 in words is "one trillion, one hundred two billion, two hundred forty-five million, two hundred forty thousand, six hundred".