106212105000 has 240 divisors, whose sum is σ = 363031683300. Its totient is φ = 28041600000.

The previous prime is 106212104981. The next prime is 106212105023. The reversal of 106212105000 is 501212601.

It can be written as a sum of positive squares in 10 ways, for example, as 4679380836 + 101532724164 = 68406^2 + 318642^2 .

It is a super-2 number, since 2×106212105000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4533316 + ... + 4556684.

Almost surely, 2^106212105000 is an apocalyptic number.

106212105000 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 106212105000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181515841650).

106212105000 is an abundant number, since it is smaller than the sum of its proper divisors (256819578300).

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

106212105000 is a wasteful number, since it uses less digits than its factorization.

106212105000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23502 (or 23480 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 106212105000 its reverse (501212601), we get a palindrome (106713317601).

The spelling of 106212105000 in words is "one hundred six billion, two hundred twelve million, one hundred five thousand".