105323526990 has 128 divisors (see below), whose sum is σ = 306505382400. Its totient is φ = 25523838720.

The previous prime is 105323526989. The next prime is 105323526991. The reversal of 105323526990 is 99625323501.

105323526990 is a `hidden beast` number, since 1 + 0 + 5 + 32 + 3 + 526 + 9 + 90 = 666.

It is an interprime number because it is at equal distance from previous prime (105323526989) and next prime (105323526991).

It is a super-2 number, since 2×105323526990² (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 not an unprimeable number, because it can be changed into a prime (105323526991) 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 63 ways as a sum of consecutive naturals, for example, 12330141 + ... + 12338679.

It is an arithmetic number, because the mean of its divisors is an integer number (2394573300).

Almost surely, 2^105323526990 is an apocalyptic number.

105323526990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105323526990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153252691200).

105323526990 is an abundant number, since it is smaller than the sum of its proper divisors (201181855410).

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

105323526990 is a wasteful number, since it uses less digits than its factorization.

105323526990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12719 (or 12713 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 45.

The spelling of 105323526990 in words is "one hundred five billion, three hundred twenty-three million, five hundred twenty-six thousand, nine hundred ninety".