105758461204432 has 20 divisors (see below), whose sum is σ = 211972777846020. Its totient is φ = 51055808857088.

The previous prime is 105758461204423. The next prime is 105758461204439. The reversal of 105758461204432 is 234402164857501.

It can be written as a sum of positive squares in 2 ways, for example, as 31758138910096 + 74000322294336 = 5635436^2 + 8602344^2 .

It is a super-2 number, since 2×105758461204432² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105758461204432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105758461204439) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 113963858593 + ... + 113963859520.

It is an arithmetic number, because the mean of its divisors is an integer number (10598638892301).

Almost surely, 2^{105758461204432} is an apocalyptic number.

It is an amenable number.

105758461204432 is an abundant number, since it is smaller than the sum of its proper divisors (106214316641588).

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

105758461204432 is a wasteful number, since it uses less digits than its factorization.

105758461204432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227927718150 (or 227927718144 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 52.

The spelling of 105758461204432 in words is "one hundred five trillion, seven hundred fifty-eight billion, four hundred sixty-one million, two hundred four thousand, four hundred thirty-two".