106890318990 has 192 divisors, whose sum is σ = 345438317952. Its totient is φ = 22329216000.

The previous prime is 106890318911. The next prime is 106890319033. The reversal of 106890318990 is 99813098601.

It is a super-2 number, since 2×106890318990² (a number of 23 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 762580 + ... + 891800.

It is an arithmetic number, because the mean of its divisors is an integer number (1799157906).

Almost surely, 2^106890318990 is an apocalyptic number.

106890318990 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 106890318990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172719158976).

106890318990 is an abundant number, since it is smaller than the sum of its proper divisors (238547998962).

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

106890318990 is a wasteful number, since it uses less digits than its factorization.

106890318990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129355 (or 129352 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 54.

The spelling of 106890318990 in words is "one hundred six billion, eight hundred ninety million, three hundred eighteen thousand, nine hundred ninety".