105536621010 has 64 divisors (see below), whose sum is σ = 268824749184. Its totient is φ = 26424652800.

The previous prime is 105536620901. The next prime is 105536621011. The reversal of 105536621010 is 10126635501.

It is a super-2 number, since 2×105536621010² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (105536621011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31056 + ... + 460475.

It is an arithmetic number, because the mean of its divisors is an integer number (4200386706).

Almost surely, 2^105536621010 is an apocalyptic number.

105536621010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105536621010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134412374592).

105536621010 is an abundant number, since it is smaller than the sum of its proper divisors (163288128174).

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

105536621010 is a wasteful number, since it uses less digits than its factorization.

105536621010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491979.

The product of its (nonzero) digits is 5400, while the sum is 30.

The spelling of 105536621010 in words is "one hundred five billion, five hundred thirty-six million, six hundred twenty-one thousand, ten".