105642415635 has 8 divisors (see below), whose sum is σ = 169027865040. Its totient is φ = 56342621664.

The previous prime is 105642415591. The next prime is 105642415639. The reversal of 105642415635 is 536514246501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105642415635 - 2⁸ = 105642415379 is a prime.

It is a super-2 number, since 2×105642415635² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105642415639) 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 7 ways as a sum of consecutive naturals, for example, 3521413840 + ... + 3521413869.

It is an arithmetic number, because the mean of its divisors is an integer number (21128483130).

Almost surely, 2^105642415635 is an apocalyptic number.

105642415635 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105642415635 is a deficient number, since it is larger than the sum of its proper divisors (63385449405).

105642415635 is an equidigital number, since it uses as much as digits as its factorization.

105642415635 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7042827717.

The product of its (nonzero) digits is 432000, while the sum is 42.

The spelling of 105642415635 in words is "one hundred five billion, six hundred forty-two million, four hundred fifteen thousand, six hundred thirty-five".