106100010558 has 96 divisors (see below), whose sum is σ = 249564057600. Its totient is φ = 32467817088.

The previous prime is 106100010557. The next prime is 106100010571. The reversal of 106100010558 is 855010001601.

106100010558 is a `hidden beast` number, since 1 + 0 + 6 + 100 + 0 + 1 + 0 + 558 = 666.

It is a super-3 number, since 3×106100010558³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106100010553) 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 47 ways as a sum of consecutive naturals, for example, 1839258 + ... + 1896066.

It is an arithmetic number, because the mean of its divisors is an integer number (2599625600).

Almost surely, 2^106100010558 is an apocalyptic number.

106100010558 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 106100010558, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124782028800).

106100010558 is an abundant number, since it is smaller than the sum of its proper divisors (143464047042).

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

106100010558 is a wasteful number, since it uses less digits than its factorization.

106100010558 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57006 (or 57003 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

The spelling of 106100010558 in words is "one hundred six billion, one hundred million, ten thousand, five hundred fifty-eight".