10540211024 has 40 divisors (see below), whose sum is σ = 23427845760. Its totient is φ = 4500044928.

The previous prime is 10540210999. The next prime is 10540211027. The reversal of 10540211024 is 42011204501.

It is a happy number.

It is a super-2 number, since 2×10540211024² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10540210987 and 10540211005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10540211027) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 149459 + ... + 208370.

It is an arithmetic number, because the mean of its divisors is an integer number (585696144).

Almost surely, 2^10540211024 is an apocalyptic number.

10540211024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10540211024 is an abundant number, since it is smaller than the sum of its proper divisors (12887634736).

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

10540211024 is a wasteful number, since it uses less digits than its factorization.

10540211024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358107 (or 358101 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 10540211024 its reverse (42011204501), we get a palindrome (52551415525).

The spelling of 10540211024 in words is "ten billion, five hundred forty million, two hundred eleven thousand, twenty-four".