105565726416 has 80 divisors (see below), whose sum is σ = 299545827840. Its totient is φ = 31887123840.

The previous prime is 105565726391. The next prime is 105565726429. The reversal of 105565726416 is 614627565501.

It is a super-2 number, since 2×105565726416² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2495370 + ... + 2537321.

It is an arithmetic number, because the mean of its divisors is an integer number (3744322848).

Almost surely, 2^105565726416 is an apocalyptic number.

105565726416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105565726416 is an abundant number, since it is smaller than the sum of its proper divisors (193980101424).

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

105565726416 is a wasteful number, since it uses less digits than its factorization.

105565726416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5032744 (or 5032738 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 48.

The spelling of 105565726416 in words is "one hundred five billion, five hundred sixty-five million, seven hundred twenty-six thousand, four hundred sixteen".