105486435168 has 24 divisors (see below), whose sum is σ = 276901892568. Its totient is φ = 35162145024.

The previous prime is 105486435151. The next prime is 105486435337. The reversal of 105486435168 is 861534684501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×105486435168² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105486435168.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 549408421 + ... + 549408612.

It is an arithmetic number, because the mean of its divisors is an integer number (11537578857).

Almost surely, 2^105486435168 is an apocalyptic number.

It is an amenable number.

105486435168 is an abundant number, since it is smaller than the sum of its proper divisors (171415457400).

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

105486435168 is a wasteful number, since it uses less digits than its factorization.

105486435168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1098817046 (or 1098817038 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 51.

The spelling of 105486435168 in words is "one hundred five billion, four hundred eighty-six million, four hundred thirty-five thousand, one hundred sixty-eight".