105299990496 has 192 divisors, whose sum is σ = 326439590400. Its totient is φ = 32908474368.

The previous prime is 105299990489. The next prime is 105299990501. The reversal of 105299990496 is 694099992501.

It is a happy number.

105299990496 is a `hidden beast` number, since 1 + 0 + 52 + 9 + 9 + 9 + 90 + 496 = 666.

It is a super-2 number, since 2×105299990496² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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, 3849315 + ... + 3876573.

It is an arithmetic number, because the mean of its divisors is an integer number (1700206200).

Almost surely, 2^105299990496 is an apocalyptic number.

105299990496 is a gapful number since it is divisible by the number (16) 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 105299990496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163219795200).

105299990496 is an abundant number, since it is smaller than the sum of its proper divisors (221139599904).

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

105299990496 is a wasteful number, since it uses less digits than its factorization.

105299990496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27558 (or 27544 counting only the distinct ones).

The product of its (nonzero) digits is 14171760, while the sum is 63.

The spelling of 105299990496 in words is "one hundred five billion, two hundred ninety-nine million, nine hundred ninety thousand, four hundred ninety-six".