105136090689 has 32 divisors (see below), whose sum is σ = 162365440000. Its totient is φ = 59269713984.

The previous prime is 105136090603. The next prime is 105136090757. The reversal of 105136090689 is 986090631501.

It is not a de Polignac number, because 105136090689 - 2⁷ = 105136090561 is a prime.

It is a super-2 number, since 2×105136090689² (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 (105136090889) 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, 2097087 + ... + 2146635.

It is an arithmetic number, because the mean of its divisors is an integer number (5073920000).

Almost surely, 2^105136090689 is an apocalyptic number.

It is an amenable number.

105136090689 is a deficient number, since it is larger than the sum of its proper divisors (57229349311).

105136090689 is a wasteful number, since it uses less digits than its factorization.

105136090689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50917.

The product of its (nonzero) digits is 349920, while the sum is 48.

The spelling of 105136090689 in words is "one hundred five billion, one hundred thirty-six million, ninety thousand, six hundred eighty-nine".