105071140733 has 4 divisors (see below), whose sum is σ = 113153536188. Its totient is φ = 96988745280.

The previous prime is 105071140663. The next prime is 105071140739. The reversal of 105071140733 is 337041170501.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 337041170501 = 7 ⋅48148738643.

It can be written as a sum of positive squares in 2 ways, for example, as 19026891844 + 86044248889 = 137938^2 + 293333^2 .

It is a cyclic number.

It is not a de Polignac number, because 105071140733 - 2⁸ = 105071140477 is a prime.

It is a super-3 number, since 3×105071140733³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105071140733.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105071140739) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4041197708 + ... + 4041197733.

It is an arithmetic number, because the mean of its divisors is an integer number (28288384047).

Almost surely, 2^105071140733 is an apocalyptic number.

105071140733 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105071140733 is a deficient number, since it is larger than the sum of its proper divisors (8082395455).

105071140733 is an equidigital number, since it uses as much as digits as its factorization.

105071140733 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8082395454.

The product of its (nonzero) digits is 8820, while the sum is 32.

The spelling of 105071140733 in words is "one hundred five billion, seventy-one million, one hundred forty thousand, seven hundred thirty-three".