105626916240 has 160 divisors (see below), whose sum is σ = 336493344000. Its totient is φ = 27389601792.

The previous prime is 105626916229. The next prime is 105626916247. The reversal of 105626916240 is 42619626501.

It is a super-2 number, since 2×105626916240² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105626916192 and 105626916201.

It is not an unprimeable number, because it can be changed into a prime (105626916247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24408957 + ... + 24413283.

It is an arithmetic number, because the mean of its divisors is an integer number (2103083400).

Almost surely, 2^105626916240 is an apocalyptic number.

105626916240 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 105626916240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168246672000).

105626916240 is an abundant number, since it is smaller than the sum of its proper divisors (230866427760).

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

105626916240 is a wasteful number, since it uses less digits than its factorization.

105626916240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7129 (or 7123 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

It can be divided in two parts, 105 and 626916240, that added together give a triangular number (626916345 = T₃₅₄₀₉).

The spelling of 105626916240 in words is "one hundred five billion, six hundred twenty-six million, nine hundred sixteen thousand, two hundred forty".