105536244660 has 384 divisors, whose sum is σ = 375445131264. Its totient is φ = 21515120640.

The previous prime is 105536244641. The next prime is 105536244673. The reversal of 105536244660 is 66442635501.

It is a super-2 number, since 2×105536244660² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 60202344 + ... + 60204096.

It is an arithmetic number, because the mean of its divisors is an integer number (977721696).

Almost surely, 2^105536244660 is an apocalyptic number.

105536244660 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 105536244660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187722565632).

105536244660 is an abundant number, since it is smaller than the sum of its proper divisors (269908886604).

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

105536244660 is a wasteful number, since it uses less digits than its factorization.

105536244660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2023 (or 2021 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 105536244660 in words is "one hundred five billion, five hundred thirty-six million, two hundred forty-four thousand, six hundred sixty".