106558447800 has 288 divisors, whose sum is σ = 390568774320. Its totient is φ = 23956531200.

The previous prime is 106558447753. The next prime is 106558447817. The reversal of 106558447800 is 8744855601.

It is a super-2 number, since 2×106558447800² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106558447800.

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 71 ways as a sum of consecutive naturals, for example, 1763692 + ... + 1823108.

Almost surely, 2^106558447800 is an apocalyptic number.

106558447800 is a gapful number since it is divisible by the number (10) 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 106558447800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195284387160).

106558447800 is an abundant number, since it is smaller than the sum of its proper divisors (284010326520).

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

106558447800 is a wasteful number, since it uses less digits than its factorization.

106558447800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59511 (or 59495 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 48.

The spelling of 106558447800 in words is "one hundred six billion, five hundred fifty-eight million, four hundred forty-seven thousand, eight hundred".