100105537705 has 4 divisors (see below), whose sum is σ = 120126645252. Its totient is φ = 80084430160.

The previous prime is 100105537703. The next prime is 100105537717. The reversal of 100105537705 is 507735501001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 53373474729 + 46732062976 = 231027^2 + 216176^2 .

It is not a de Polignac number, because 100105537705 - 2¹ = 100105537703 is a prime.

It is a super-2 number, since 2×100105537705² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100105537703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10010553766 + ... + 10010553775.

It is an arithmetic number, because the mean of its divisors is an integer number (30031661313).

Almost surely, 2^100105537705 is an apocalyptic number.

It is an amenable number.

100105537705 is a deficient number, since it is larger than the sum of its proper divisors (20021107547).

100105537705 is an equidigital number, since it uses as much as digits as its factorization.

100105537705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20021107546.

The product of its (nonzero) digits is 18375, while the sum is 34.

The spelling of 100105537705 in words is "one hundred billion, one hundred five million, five hundred thirty-seven thousand, seven hundred five".