10542306540 has 48 divisors (see below), whose sum is σ = 29533916160. Its totient is φ = 2809809600.

The previous prime is 10542306539. The next prime is 10542306547. The reversal of 10542306540 is 4560324501.

It is a super-2 number, since 2×10542306540² (a number of 21 digits) contains 22 as substring.

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 = 10542306498 and 10542306507.

It is not an unprimeable number, because it can be changed into a prime (10542306547) 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 15 ways as a sum of consecutive naturals, for example, 72031 + ... + 162089.

It is an arithmetic number, because the mean of its divisors is an integer number (615289920).

Almost surely, 2^10542306540 is an apocalyptic number.

10542306540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10542306540 is an abundant number, since it is smaller than the sum of its proper divisors (18991609620).

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

10542306540 is a wasteful number, since it uses less digits than its factorization.

10542306540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92022 (or 92020 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 10542306540 in words is "ten billion, five hundred forty-two million, three hundred six thousand, five hundred forty".