105382790640 has 160 divisors (see below), whose sum is σ = 363551016960. Its totient is φ = 28058270976.

The previous prime is 105382790627. The next prime is 105382790651. The reversal of 105382790640 is 46097283501.

105382790640 is a `hidden beast` number, since 1 + 0 + 538 + 2 + 79 + 0 + 6 + 40 = 666.

It is a super-2 number, since 2×105382790640² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1359817 + ... + 1435223.

It is an arithmetic number, because the mean of its divisors is an integer number (2272193856).

It is a 1-persistent number, because it is pandigital, but 2⋅105382790640 = 210765581280 is not.

Almost surely, 2^105382790640 is an apocalyptic number.

105382790640 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 105382790640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181775508480).

105382790640 is an abundant number, since it is smaller than the sum of its proper divisors (258168226320).

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

105382790640 is a wasteful number, since it uses less digits than its factorization.

105382790640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76076 (or 76064 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 105382790640 in words is "one hundred five billion, three hundred eighty-two million, seven hundred ninety thousand, six hundred forty".