10242292365 has 24 divisors (see below), whose sum is σ = 17916189720. Its totient is φ = 5412438144.

The previous prime is 10242292363. The next prime is 10242292373. The reversal of 10242292365 is 56329224201.

10242292365 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 2 + 292 + 365 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3622354596 + 6619937769 = 60186^2 + 81363^2 .

It is not a de Polignac number, because 10242292365 - 2¹ = 10242292363 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10242292363) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1039162 + ... + 1048971.

It is an arithmetic number, because the mean of its divisors is an integer number (746507905).

Almost surely, 2^10242292365 is an apocalyptic number.

10242292365 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10242292365 is a deficient number, since it is larger than the sum of its proper divisors (7673897355).

10242292365 is a wasteful number, since it uses less digits than its factorization.

10242292365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2088253 (or 2088250 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 10242292365 in words is "ten billion, two hundred forty-two million, two hundred ninety-two thousand, three hundred sixty-five".