105716077331865 has 128 divisors (see below), whose sum is σ = 227152622592000. Its totient is φ = 40545870243840.

The previous prime is 105716077331863. The next prime is 105716077331983. The reversal of 105716077331865 is 568133770617501.

It is not a de Polignac number, because 105716077331865 - 2¹ = 105716077331863 is a prime.

It is a super-2 number, since 2×105716077331865² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105716077331799 and 105716077331808.

It is not an unprimeable number, because it can be changed into a prime (105716077331863) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 70716661 + ... + 72196109.

It is an arithmetic number, because the mean of its divisors is an integer number (1774629864000).

Almost surely, 2^{105716077331865} is an apocalyptic number.

105716077331865 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105716077331865 is an abundant number, since it is smaller than the sum of its proper divisors (121436545260135).

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

105716077331865 is a wasteful number, since it uses less digits than its factorization.

105716077331865 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1484247.

The product of its (nonzero) digits is 22226400, while the sum is 60.

The spelling of 105716077331865 in words is "one hundred five trillion, seven hundred sixteen billion, seventy-seven million, three hundred thirty-one thousand, eight hundred sixty-five".