105620134536 has 96 divisors (see below), whose sum is σ = 327017658240. Its totient is φ = 30168117504.

The previous prime is 105620134507. The next prime is 105620134541. The reversal of 105620134536 is 635431026501.

105620134536 is a `hidden beast` number, since 10 + 5 + 620 + 13 + 4 + 5 + 3 + 6 = 666.

105620134536 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105620134536² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 105620134536.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1747900 + ... + 1807316.

It is an arithmetic number, because the mean of its divisors is an integer number (3406433940).

Almost surely, 2^105620134536 is an apocalyptic number.

It is an amenable number.

105620134536 is an abundant number, since it is smaller than the sum of its proper divisors (221397523704).

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

105620134536 is a wasteful number, since it uses less digits than its factorization.

105620134536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62963 (or 62956 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 105620134536 in words is "one hundred five billion, six hundred twenty million, one hundred thirty-four thousand, five hundred thirty-six".