105418032640 has 80 divisors (see below), whose sum is σ = 252844843680. Its totient is φ = 42152427520.

The previous prime is 105418032637. The next prime is 105418032641. The reversal of 105418032640 is 46230814501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×105418032640² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105418032596 and 105418032605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105418032641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10006896 + ... + 10017424.

It is an arithmetic number, because the mean of its divisors is an integer number (3160560546).

Almost surely, 2^105418032640 is an apocalyptic number.

105418032640 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 105418032640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126422421840).

105418032640 is an abundant number, since it is smaller than the sum of its proper divisors (147426811040).

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

105418032640 is an equidigital number, since it uses as much as digits as its factorization.

105418032640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14463 (or 14447 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The spelling of 105418032640 in words is "one hundred five billion, four hundred eighteen million, thirty-two thousand, six hundred forty".