1102565242350 has 288 divisors, whose sum is σ = 3502295151264. Its totient is φ = 245154124800.

The previous prime is 1102565242307. The next prime is 1102565242403. The reversal of 1102565242350 is 532425652011.

1102565242350 is a `hidden beast` number, since 1 + 1 + 0 + 2 + 5 + 65 + 242 + 350 = 666.

It is a super-2 number, since 2×1102565242350² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10048384 + ... + 10157516.

It is an arithmetic number, because the mean of its divisors is an integer number (12160747053).

Almost surely, 2^{1102565242350} is an apocalyptic number.

1102565242350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1102565242350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751147575632).

1102565242350 is an abundant number, since it is smaller than the sum of its proper divisors (2399729908914).

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

1102565242350 is a wasteful number, since it uses less digits than its factorization.

1102565242350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109332 (or 109324 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 1102565242350 in words is "one trillion, one hundred two billion, five hundred sixty-five million, two hundred forty-two thousand, three hundred fifty".