105142722367365 has 32 divisors (see below), whose sum is σ = 186941331542400. Its totient is φ = 56069837729280.

The previous prime is 105142722367363. The next prime is 105142722367367. The reversal of 105142722367365 is 563763227241501.

105142722367365 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 4 + 272 + 2 + 3 + 6 + 7 + 365 = 666.

105142722367365 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (105142722367363) and next prime (105142722367367).

It is not a de Polignac number, because 105142722367365 - 2¹ = 105142722367363 is a prime.

It is a super-2 number, since 2×105142722367365² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105142722367363) 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, 42407251 + ... + 44818080.

It is an arithmetic number, because the mean of its divisors is an integer number (5841916610700).

Almost surely, 2^{105142722367365} is an apocalyptic number.

105142722367365 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105142722367365 is a deficient number, since it is larger than the sum of its proper divisors (81798609175035).

105142722367365 is an equidigital number, since it uses as much as digits as its factorization.

105142722367365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87234274 (or 87234268 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 105142722367365 in words is "one hundred five trillion, one hundred forty-two billion, seven hundred twenty-two million, three hundred sixty-seven thousand, three hundred sixty-five".