105564077985354 has 16 divisors (see below), whose sum is σ = 211128413334048. Its totient is φ = 35187983101232.

The previous prime is 105564077985343. The next prime is 105564077985391. The reversal of 105564077985354 is 453589770465501.

105564077985354 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105564077985354² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 5169957 + ... + 15422600.

It is an arithmetic number, because the mean of its divisors is an integer number (13195525833378).

Almost surely, 2^{105564077985354} is an apocalyptic number.

105564077985354 is an abundant number, since it is smaller than the sum of its proper divisors (105564335348694).

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

105564077985354 is a wasteful number, since it uses less digits than its factorization.

105564077985354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21446949.

The product of its (nonzero) digits is 635040000, while the sum is 69.

The spelling of 105564077985354 in words is "one hundred five trillion, five hundred sixty-four billion, seventy-seven million, nine hundred eighty-five thousand, three hundred fifty-four".