105536626020 has 288 divisors, whose sum is σ = 375746122752. Its totient is φ = 23474997504.

The previous prime is 105536625967. The next prime is 105536626049. The reversal of 105536626020 is 20626635501.

It is a happy number.

105536626020 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 3 + 6 + 626 + 0 + 20 = 666.

It is a super-2 number, since 2×105536626020² (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 an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 15329499 + ... + 15336381.

Almost surely, 2^105536626020 is an apocalyptic number.

105536626020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105536626020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187873061376).

105536626020 is an abundant number, since it is smaller than the sum of its proper divisors (270209496732).

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

105536626020 is a wasteful number, since it uses less digits than its factorization.

105536626020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7231 (or 7226 counting only the distinct ones).

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

The spelling of 105536626020 in words is "one hundred five billion, five hundred thirty-six million, six hundred twenty-six thousand, twenty".