106203025110 has 256 divisors, whose sum is σ = 326288793600. Its totient is φ = 21524465664.

The previous prime is 106203025079. The next prime is 106203025129. The reversal of 106203025110 is 11520302601.

It is a super-2 number, since 2×106203025110² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 7973136 + ... + 7986444.

It is an arithmetic number, because the mean of its divisors is an integer number (1274565600).

Almost surely, 2^106203025110 is an apocalyptic number.

106203025110 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 106203025110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163144396800).

106203025110 is an abundant number, since it is smaller than the sum of its proper divisors (220085768490).

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

106203025110 is a wasteful number, since it uses less digits than its factorization.

106203025110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13455.

The product of its (nonzero) digits is 360, while the sum is 21.

Adding to 106203025110 its reverse (11520302601), we get a palindrome (117723327711).

The spelling of 106203025110 in words is "one hundred six billion, two hundred three million, twenty-five thousand, one hundred ten".