105835510085604 has 48 divisors (see below), whose sum is σ = 265976216116800. Its totient is φ = 32561028408960.

The previous prime is 105835510085603. The next prime is 105835510085621. The reversal of 105835510085604 is 406580015538501.

It is a happy number.

It is a super-2 number, since 2×105835510085604² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105835510085603) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37637827 + ... + 40351914.

It is an arithmetic number, because the mean of its divisors is an integer number (5541171169100).

Almost surely, 2^{105835510085604} is an apocalyptic number.

It is an amenable number.

105835510085604 is an abundant number, since it is smaller than the sum of its proper divisors (160140706031196).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105835510085604 is a wasteful number, since it uses less digits than its factorization.

105835510085604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77998460 (or 77998458 counting only the distinct ones).

The product of its (nonzero) digits is 2880000, while the sum is 51.

The spelling of 105835510085604 in words is "one hundred five trillion, eight hundred thirty-five billion, five hundred ten million, eighty-five thousand, six hundred four".