106206575120 has 80 divisors (see below), whose sum is σ = 248868238080. Its totient is φ = 42149624832.

The previous prime is 106206575119. The next prime is 106206575129. The reversal of 106206575120 is 21575602601.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×106206575120² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106206575129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31768169 + ... + 31771511.

It is an arithmetic number, because the mean of its divisors is an integer number (3110852976).

Almost surely, 2^106206575120 is an apocalyptic number.

106206575120 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 106206575120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124434119040).

106206575120 is an abundant number, since it is smaller than the sum of its proper divisors (142661662960).

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

106206575120 is a wasteful number, since it uses less digits than its factorization.

106206575120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6352 (or 6346 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 35.

The spelling of 106206575120 in words is "one hundred six billion, two hundred six million, five hundred seventy-five thousand, one hundred twenty".