109982126358 has 96 divisors (see below), whose sum is σ = 264727243872. Its totient is φ = 32788800000.

The previous prime is 109982126357. The next prime is 109982126459. The reversal of 109982126358 is 853621289901.

109982126358 is a `hidden beast` number, since 1 + 0 + 99 + 82 + 126 + 358 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109982126357) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 898858 + ... + 1013858.

It is an arithmetic number, because the mean of its divisors is an integer number (2757575457).

Almost surely, 2^109982126358 is an apocalyptic number.

109982126358 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 109982126358, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132363621936).

109982126358 is an abundant number, since it is smaller than the sum of its proper divisors (154745117514).

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

109982126358 is a wasteful number, since it uses less digits than its factorization.

109982126358 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115150 (or 115147 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 109982126358 in words is "one hundred nine billion, nine hundred eighty-two million, one hundred twenty-six thousand, three hundred fifty-eight".