106223121300 has 288 divisors, whose sum is σ = 340682194944. Its totient is φ = 25433856000.

The previous prime is 106223121289. The next prime is 106223121311. The reversal of 106223121300 is 3121322601.

It is an interprime number because it is at equal distance from previous prime (106223121289) and next prime (106223121311).

It is a super-2 number, since 2×106223121300² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11220369 + ... + 11229831.

It is an arithmetic number, because the mean of its divisors is an integer number (1182924288).

Almost surely, 2^106223121300 is an apocalyptic number.

106223121300 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 106223121300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170341097472).

106223121300 is an abundant number, since it is smaller than the sum of its proper divisors (234459073644).

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

106223121300 is a wasteful number, since it uses less digits than its factorization.

106223121300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9599 (or 9592 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 106223121300 its reverse (3121322601), we get a palindrome (109344443901).

The spelling of 106223121300 in words is "one hundred six billion, two hundred twenty-three million, one hundred twenty-one thousand, three hundred".