10345110240540 has 24 divisors (see below), whose sum is σ = 28966308673680. Its totient is φ = 2758696064128.

The previous prime is 10345110240539. The next prime is 10345110240623. The reversal of 10345110240540 is 4504201154301.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10345110240498 and 10345110240507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86209251945 + ... + 86209252064.

It is an arithmetic number, because the mean of its divisors is an integer number (1206929528070).

Almost surely, 2^{10345110240540} is an apocalyptic number.

10345110240540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10345110240540 is an abundant number, since it is smaller than the sum of its proper divisors (18621198433140).

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

10345110240540 is a wasteful number, since it uses less digits than its factorization.

10345110240540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172418504021 (or 172418504019 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 10345110240540 its reverse (4504201154301), we get a palindrome (14849311394841).

The spelling of 10345110240540 in words is "ten trillion, three hundred forty-five billion, one hundred ten million, two hundred forty thousand, five hundred forty".