10356706542 has 96 divisors (see below), whose sum is σ = 27314582400. Its totient is φ = 2587660992.

The previous prime is 10356706537. The next prime is 10356706543. The reversal of 10356706542 is 24560765301.

It is a super-3 number, since 3×10356706542³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 10356706542.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10356706543) 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 47 ways as a sum of consecutive naturals, for example, 1309 + ... + 143927.

It is an arithmetic number, because the mean of its divisors is an integer number (284526900).

Almost surely, 2^10356706542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10356706542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13657291200).

10356706542 is an abundant number, since it is smaller than the sum of its proper divisors (16957875858).

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

10356706542 is a wasteful number, since it uses less digits than its factorization.

10356706542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142670 (or 142663 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The spelling of 10356706542 in words is "ten billion, three hundred fifty-six million, seven hundred six thousand, five hundred forty-two".