105416411361774 has 64 divisors (see below), whose sum is σ = 227093038912512. Its totient is φ = 32503156313600.

The previous prime is 105416411361773. The next prime is 105416411361799. The reversal of 105416411361774 is 477163114614501.

It is a super-2 number, since 2×105416411361774² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105416411361773) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20663682 + ... + 25255109.

It is an arithmetic number, because the mean of its divisors is an integer number (3548328733008).

Almost surely, 2^{105416411361774} is an apocalyptic number.

105416411361774 is an abundant number, since it is smaller than the sum of its proper divisors (121676627550738).

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

105416411361774 is a wasteful number, since it uses less digits than its factorization.

105416411361774 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45919201.

The product of its (nonzero) digits is 1693440, while the sum is 51.

The spelling of 105416411361774 in words is "one hundred five trillion, four hundred sixteen billion, four hundred eleven million, three hundred sixty-one thousand, seven hundred seventy-four".