105721040767 has 16 divisors (see below), whose sum is σ = 112287928320. Its totient is φ = 99193090432.

The previous prime is 105721040749. The next prime is 105721040783. The reversal of 105721040767 is 767040127501.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 105721040767 - 2¹¹ = 105721038719 is a prime.

It is a super-2 number, since 2×105721040767² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105721040717) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25540584 + ... + 25544722.

It is an arithmetic number, because the mean of its divisors is an integer number (7017995520).

Almost surely, 2^105721040767 is an apocalyptic number.

105721040767 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

105721040767 is a deficient number, since it is larger than the sum of its proper divisors (6566887553).

105721040767 is a wasteful number, since it uses less digits than its factorization.

105721040767 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8462.

The product of its (nonzero) digits is 82320, while the sum is 40.

The spelling of 105721040767 in words is "one hundred five billion, seven hundred twenty-one million, forty thousand, seven hundred sixty-seven".