11345103765 has 36 divisors (see below), whose sum is σ = 20827010412. Its totient is φ = 5693318400.

The previous prime is 11345103719. The next prime is 11345103773. The reversal of 11345103765 is 56730154311.

11345103765 is a `hidden beast` number, since 1 + 134 + 510 + 3 + 7 + 6 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6540118641 + 4804985124 = 80871^2 + 69318^2 .

It is not a de Polignac number, because 11345103765 - 2¹⁸ = 11344841621 is a prime.

It is a super-2 number, since 2×11345103765² (a number of 21 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 35 ways as a sum of consecutive naturals, for example, 2944090 + ... + 2947940.

It is an arithmetic number, because the mean of its divisors is an integer number (578528067).

Almost surely, 2^11345103765 is an apocalyptic number.

11345103765 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11345103765 is a deficient number, since it is larger than the sum of its proper divisors (9481906647).

11345103765 is an frugal number, since it uses more digits than its factorization.

11345103765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7730 (or 3876 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 11345103765 in words is "eleven billion, three hundred forty-five million, one hundred three thousand, seven hundred sixty-five".