105949966290 has 64 divisors (see below), whose sum is σ = 296536377600. Its totient is φ = 24217132800.

The previous prime is 105949966289. The next prime is 105949966321. The reversal of 105949966290 is 92669949501.

It is a super-2 number, since 2×105949966290² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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, 5137911 + ... + 5158490.

It is an arithmetic number, because the mean of its divisors is an integer number (4633380900).

Almost surely, 2^105949966290 is an apocalyptic number.

105949966290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105949966290 is an abundant number, since it is smaller than the sum of its proper divisors (190586411310).

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

105949966290 is a wasteful number, since it uses less digits than its factorization.

105949966290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10296432 (or 10296418 counting only the distinct ones).

The product of its (nonzero) digits is 9447840, while the sum is 60.

The spelling of 105949966290 in words is "one hundred five billion, nine hundred forty-nine million, nine hundred sixty-six thousand, two hundred ninety".