106858592220 has 192 divisors, whose sum is σ = 319783242240. Its totient is φ = 26620296192.

The previous prime is 106858592167. The next prime is 106858592221. The reversal of 106858592220 is 22295858601.

It is a super-2 number, since 2×106858592220² (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 106858592220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106858592221) 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 63 ways as a sum of consecutive naturals, for example, 5622654 + ... + 5641626.

It is an arithmetic number, because the mean of its divisors is an integer number (1665537720).

Almost surely, 2^106858592220 is an apocalyptic number.

106858592220 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 106858592220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159891621120).

106858592220 is an abundant number, since it is smaller than the sum of its proper divisors (212924650020).

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

106858592220 is a wasteful number, since it uses less digits than its factorization.

106858592220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19124 (or 19122 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 48.

The spelling of 106858592220 in words is "one hundred six billion, eight hundred fifty-eight million, five hundred ninety-two thousand, two hundred twenty".