10506544542 has 48 divisors (see below), whose sum is σ = 24810681168. Its totient is φ = 3193827840.

The previous prime is 10506544541. The next prime is 10506544577. The reversal of 10506544542 is 24544560501.

10506544542 is a `hidden beast` number, since 1 + 0 + 50 + 65 + 4 + 4 + 542 = 666.

It is a super-2 number, since 2×10506544542² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10506544497 and 10506544506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10506544541) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 251059 + ... + 289902.

It is an arithmetic number, because the mean of its divisors is an integer number (516889191).

Almost surely, 2^10506544542 is an apocalyptic number.

10506544542 is an abundant number, since it is smaller than the sum of its proper divisors (14304136626).

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

10506544542 is a wasteful number, since it uses less digits than its factorization.

10506544542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541065 (or 541062 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 10506544542 in words is "ten billion, five hundred six million, five hundred forty-four thousand, five hundred forty-two".