10242563303105 has 12 divisors (see below), whose sum is σ = 14297782243860. Its totient is φ = 7023471979104.

The previous prime is 10242563303101. The next prime is 10242563303107. The reversal of 10242563303105 is 50130336524201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1819757832256 + 8422805470849 = 1348984^2 + 2902207^2 .

It is not a de Polignac number, because 10242563303105 - 2² = 10242563303101 is a prime.

It is a super-2 number, since 2×10242563303105² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (10242563303101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20903190170 + ... + 20903190659.

It is an arithmetic number, because the mean of its divisors is an integer number (1191481853655).

Almost surely, 2^{10242563303105} is an apocalyptic number.

It is an amenable number.

10242563303105 is a deficient number, since it is larger than the sum of its proper divisors (4055218940755).

10242563303105 is an equidigital number, since it uses as much as digits as its factorization.

10242563303105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41806380848 (or 41806380841 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 35.

Adding to 10242563303105 its reverse (50130336524201), we get a palindrome (60372899827306).

The spelling of 10242563303105 in words is "ten trillion, two hundred forty-two billion, five hundred sixty-three million, three hundred three thousand, one hundred five".