106216341000 has 384 divisors, whose sum is σ = 416307790080. Its totient is φ = 22070400000.

The previous prime is 106216340999. The next prime is 106216341019. The reversal of 106216341000 is 143612601.

It is a super-2 number, since 2×106216341000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 2520100 + ... + 2561900.

It is an arithmetic number, because the mean of its divisors is an integer number (1084134870).

Almost surely, 2^106216341000 is an apocalyptic number.

106216341000 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 106216341000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208153895040).

106216341000 is an abundant number, since it is smaller than the sum of its proper divisors (310091449080).

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

106216341000 is a wasteful number, since it uses less digits than its factorization.

106216341000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41854 (or 41829 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 106216341000 its reverse (143612601), we get a palindrome (106359953601).

The spelling of 106216341000 in words is "one hundred six billion, two hundred sixteen million, three hundred forty-one thousand".