105326659760 has 160 divisors (see below), whose sum is σ = 287694062592. Its totient is φ = 35103974400.

The previous prime is 105326659759. The next prime is 105326659769. The reversal of 105326659760 is 67956623501.

It is a happy number.

It is a super-2 number, since 2×105326659760² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105326659699 and 105326659708.

It is not an unprimeable number, because it can be changed into a prime (105326659769) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36942335 + ... + 36945185.

Almost surely, 2^105326659760 is an apocalyptic number.

105326659760 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 105326659760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143847031296).

105326659760 is an abundant number, since it is smaller than the sum of its proper divisors (182367402832).

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

105326659760 is a wasteful number, since it uses less digits than its factorization.

105326659760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4691 (or 4685 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 50.

The spelling of 105326659760 in words is "one hundred five billion, three hundred twenty-six million, six hundred fifty-nine thousand, seven hundred sixty".