105436421640 has 576 divisors, whose sum is σ = 392473486080. Its totient is φ = 24333926400.

The previous prime is 105436421611. The next prime is 105436421647. The reversal of 105436421640 is 46124634501.

105436421640 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 3 + 6 + 4 + 2 + 1 + 640 = 666.

It is a super-2 number, since 2×105436421640² (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 junction number, because it is equal to n+sod(n) for n = 105436421595 and 105436421604.

It is not an unprimeable number, because it can be changed into a prime (105436421647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 312867552 + ... + 312867888.

It is an arithmetic number, because the mean of its divisors is an integer number (681377580).

Almost surely, 2^105436421640 is an apocalyptic number.

105436421640 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 105436421640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196236743040).

105436421640 is an abundant number, since it is smaller than the sum of its proper divisors (287037064440).

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

105436421640 is a wasteful number, since it uses less digits than its factorization.

105436421640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

It can be divided in two parts, 105436 and 421640, that added together give a square (527076 = 726²).

The spelling of 105436421640 in words is "one hundred five billion, four hundred thirty-six million, four hundred twenty-one thousand, six hundred forty".